Washing is over-rated. Seriously. The oily film on your skin is protective (to some extent) and sweat has natural anti-bacterial properties. I'm not sure whether research backs me up, but I'd hazard a guess that if you keep removing the oils from your skin you could leave yourself more vulnerable to infections.
That isn't to say that you should never shower. But three times a day is probably overdoing it.
The thing is for competitions i can train as much as three times a day in upto two different places, that was why i was showering three times a day. I only shower two times a day