It can't be 1000's of people as it only works with your subnet. most likely (for a university), it's 254 people ...
Anyway, download PortSniffer and enter a range of IP addresses near your computer and scan for port 3689. Say your ip address is 66.195.63.25, scan from 66.195.63.1 - 66.195.63.254... it should be in that range.
Also check in your Network setup for your subnet mask... if the last number is a zero, there are 254 people that it could be. if the number is larger, the number of people is lower.
FYI your whole university owns 66.192.0.0 - 66.195.63.255, so technically you could scan the whole thing, but that would be dumb.
PS. many universities ban this sort of scanning so double check your agreement.
You could also scan for other Mac like ports being open...
Did you turn on Rendezvous chat? That may be even faster...