Wow! 39,000 RPM is 650 rotations per second! I'm not yet a pilot and won't even pretend to know anything in-depth about a turbine engine, but MAN that sounds fast.
Doug's numbers seem a bit more possible to my internal-combustion-on-the-ground brain, but I suppose that there could be a large difference in RPMs between two engines. Where did you get the higher numbers from?
Just curious!
(And who knows! Maybe I'll need to know in 5 or 10 years when I might actually be flying a turbine aircraft!
)