when you mean biggest, what exactly do you mean? By total enrollment? By total number of students for a given major? Or are you misusing the word “biggest” and really mean to say “highest rated”?
You have a 32 as a sophomore, you’ll probably raise that to a 34. That’s right at average for most Top 10 programs. But competition for spots is tough. Try to get rated USACO platinum.
Statistically, very big schools often will be relatively easy to get into because of their large entering class sizes. As stated above, you could almost certainly get into a big school, and maybe even the biggest school, if you continue on your current trajectory. Do not, however, allow yourself to be deceived by nicknames, such as The Big Red (Cornell) or The Big Green (Dartmouth), which can serve to disguise highly selective universities of relatively modest size. If you meant biggest in a way other than to refer to enrollment, such as, say, to refer to campus acreage, well, that would be a different matter.