I would definitely say that this system is 64 bit but the owner says it's 32. The computer is a Dell Optiplex 960 which comes both in 32 bit and 64 bit versions but I installed windows 8 64 bit version and it can run 64 bit programs.

Update
There's Autoit script that checks it, I had to update an older script to make it work
If @CPUARCH = "x86" Then
$CPUARCH = "32-bit"
Else
$CPUARCH = "64-bit"
EndIf
If @OSARCH = "x86" Then
$OSARCH = "32-bit"
Else
$OSARCH = "64-bit"
EndIf
MsgBox(0, "CPU info", "The CPU is "& $CPUARCH & " and the OS is " & $OSARCH)
I uploaded the compiled binary to sourceforge.