Its RAM is only 8MB so something THAT big will not run. Plus you can't possibly upload that. Remember, great SNES games were just 2MB, and GBA games 16MB. Let's be realistic here :)
You should write a program that generates random numbers, packages them up into files as large as possible, as many as possible, and saves them to disk. Then write another program to load them and play them all back somehow. maybe display as text, or pixels or sounds. It'd be a nice little starter project and would give you a tangible demonstration of what 32 gigabytes is... :)