diff --git a/Lib/test/test_builtin.py b/Lib/test/test_builtin.py
index 15d80a3..70980f8 100644
--- a/Lib/test/test_builtin.py
+++ b/Lib/test/test_builtin.py
@@ -1297,6 +1297,7 @@
             )
             self.assertRaises(ValueError, unichr, sys.maxunicode+1)
             self.assertRaises(TypeError, unichr)
+            self.assertRaises((OverflowError, ValueError), unichr, 2**32)
 
     # We don't want self in vars(), so these are static methods