My 2 Cents:
C, alongside assembly, was the first language I learned and I can definitely recommend becoming familiar with it... if for no other reason than to have a better understanding of a very useful, robust language. I only use C/C++ and assembly to hack around in the Quake 3 and UT2004 engines, but it makes for a fun hobby. Regardless, they make excellent foundations for any programmer.
"If you're ever lost and need directions, ask the guy on the motorcycle."