It's never had issues opening 32bit in 64bit modes or vice versa. It has always been backward compatible, its never had an issues opening older versions (3dsmax5) in newer versions (3dsmax2011) regardless of which mode it was saved as 32/64bit, that has never mattered. Like a lot of software it does have a problem with…
well sometimes you get dll error messages if you created the scene with plugins that the other computer your opening it with doesn't have. I had that in the past with CAT or when opening scenes from other studios that used their own plugins / pipeline stuff. I would highly assume that the 32 and 64 bit max versions…