diff --git a/arrow/constants.py b/arrow/constants.py
index 532e95969..9a9e87d27 100644
--- a/arrow/constants.py
+++ b/arrow/constants.py
@@ -1,30 +1,9 @@
 """Constants used internally in arrow."""
 
-import sys
 from datetime import datetime
 from typing import Final
 
-# datetime.max.timestamp() errors on Windows, so we must hardcode
-# the highest possible datetime value that can output a timestamp.
-# tl;dr platform-independent max timestamps are hard to form
-# See: https://stackoverflow.com/q/46133223
-try:
-    # Get max timestamp. Works on POSIX-based systems like Linux and macOS,
-    # but will trigger an OverflowError, ValueError, or OSError on Windows
-    _MAX_TIMESTAMP = datetime.max.timestamp()
-except (OverflowError, ValueError, OSError):  # pragma: no cover
-    # Fallback for Windows and 32-bit systems if initial max timestamp call fails
-    # Must get max value of ctime on Windows based on architecture (x32 vs x64)
-    # https://docs.microsoft.com/en-us/cpp/c-runtime-library/reference/ctime-ctime32-ctime64-wctime-wctime32-wctime64
-    # Note: this may occur on both 32-bit Linux systems (issue #930) along with Windows systems
-    is_64bits = sys.maxsize > 2**32
-    _MAX_TIMESTAMP = (
-        datetime(3000, 1, 1, 23, 59, 59, 999999).timestamp()
-        if is_64bits
-        else datetime(2038, 1, 1, 23, 59, 59, 999999).timestamp()
-    )
-
-MAX_TIMESTAMP: Final[float] = _MAX_TIMESTAMP
+MAX_TIMESTAMP: Final[float] = (datetime.max - datetime(1970, 1, 1)).total_seconds()
 MAX_TIMESTAMP_MS: Final[float] = MAX_TIMESTAMP * 1000
 MAX_TIMESTAMP_US: Final[float] = MAX_TIMESTAMP * 1_000_000