diff --git a/Lib/test/test_os.py b/Lib/test/test_os.py
index 6f4709d..6f68620 100644
--- a/Lib/test/test_os.py
+++ b/Lib/test/test_os.py
@@ -322,6 +322,11 @@
                 os.utime(self.fname, (t1, t1))
                 self.assertEqual(os.stat(self.fname).st_mtime, t1)
 
+            def test_large_time(self):
+                t1 = 5000000000 # some day in 2128
+                os.utime(self.fname, (t1, t1))
+                self.assertEqual(os.stat(self.fname).st_mtime, t1)
+
         def test_1686475(self):
             # Verify that an open file can be stat'ed
             try:
diff --git a/Misc/NEWS b/Misc/NEWS
index c627e31..9c900ff 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -9,6 +9,9 @@
 Core and Builtins
 -----------------
 
+- Issue #8278: On Windows and with a NTFS filesystem, os.stat() and os.utime()
+  can now handle dates after 2038.
+
 - Issue #4236: Py_InitModule4 now checks the import machinery directly
   rather than the Py_IsInitialized flag, avoiding a Fatal Python
   error in certain circumstances when an import is done in __del__.
diff --git a/Modules/posixmodule.c b/Modules/posixmodule.c
index b1242dd..bcc1219 100644
--- a/Modules/posixmodule.c
+++ b/Modules/posixmodule.c
@@ -858,18 +858,18 @@
     int st_gid;
     int st_rdev;
     __int64 st_size;
-    int st_atime;
+    time_t st_atime;
     int st_atime_nsec;
-    int st_mtime;
+    time_t st_mtime;
     int st_mtime_nsec;
-    int st_ctime;
+    time_t st_ctime;
     int st_ctime_nsec;
 };
 
 static __int64 secs_between_epochs = 11644473600; /* Seconds between 1.1.1601 and 1.1.1970 */
 
 static void
-FILE_TIME_to_time_t_nsec(FILETIME *in_ptr, int *time_out, int* nsec_out)
+FILE_TIME_to_time_t_nsec(FILETIME *in_ptr, time_t *time_out, int* nsec_out)
 {
     /* XXX endianness. Shouldn't matter, as all Windows implementations are little-endian */
     /* Cannot simply cast and dereference in_ptr,
@@ -877,12 +877,11 @@
     __int64 in;
     memcpy(&in, in_ptr, sizeof(in));
     *nsec_out = (int)(in % 10000000) * 100; /* FILETIME is in units of 100 nsec. */
-    /* XXX Win32 supports time stamps past 2038; we currently don't */
-    *time_out = Py_SAFE_DOWNCAST((in / 10000000) - secs_between_epochs, __int64, int);
+    *time_out = Py_SAFE_DOWNCAST((in / 10000000) - secs_between_epochs, __int64, time_t);
 }
 
 static void
-time_t_to_FILE_TIME(int time_in, int nsec_in, FILETIME *out_ptr)
+time_t_to_FILE_TIME(time_t time_in, int nsec_in, FILETIME *out_ptr)
 {
     /* XXX endianness */
     __int64 out;
@@ -2727,15 +2726,19 @@
 #endif /* HAVE_UNAME */
 
 static int
-extract_time(PyObject *t, long* sec, long* usec)
+extract_time(PyObject *t, time_t* sec, long* usec)
 {
-    long intval;
+    time_t intval;
     if (PyFloat_Check(t)) {
         double tval = PyFloat_AsDouble(t);
-        PyObject *intobj = Py_TYPE(t)->tp_as_number->nb_int(t);
+        PyObject *intobj = PyNumber_Long(t);
         if (!intobj)
             return -1;
+#if SIZEOF_TIME_T > SIZEOF_LONG
+        intval = PyInt_AsUnsignedLongLongMask(intobj);
+#else
         intval = PyInt_AsLong(intobj);
+#endif
         Py_DECREF(intobj);
         if (intval == -1 && PyErr_Occurred())
             return -1;
@@ -2747,7 +2750,11 @@
             *usec = 0;
         return 0;
     }
+#if SIZEOF_TIME_T > SIZEOF_LONG
+    intval = PyInt_AsUnsignedLongLongMask(t);
+#else
     intval = PyInt_AsLong(t);
+#endif
     if (intval == -1 && PyErr_Occurred())
         return -1;
     *sec = intval;
@@ -2770,7 +2777,8 @@
     wchar_t *wpath = NULL;
     char *apath = NULL;
     HANDLE hFile;
-    long atimesec, mtimesec, ausec, musec;
+    time_t atimesec, mtimesec;
+    long ausec, musec;
     FILETIME atime, mtime;
     PyObject *result = NULL;
 
@@ -2844,7 +2852,8 @@
 #else /* MS_WINDOWS */
 
     char *path = NULL;
-    long atime, mtime, ausec, musec;
+    time_t atime, mtime;
+    long ausec, musec;
     int res;
     PyObject* arg;