Perl is a great and diverse tool. It is not always the right tool for the job, nor is it always the best tool when it does the job well. Learning other languages not only increases your available options, but also your understanding of technical concepts, and ultimately your understanding of Perl. Learning is a good thing. However, your capacity for learning is often limited by your free time, and choices have to be made. I would advocate a balance, learn more languages while keeping up with Perl. Not 3000 languages, of course. A useful list of popular languages that you may need to work with includes Perl, C, ASM, shell, Java, PHP, and Python, and the list just goes from there. Certainly not 3000 useful languages, you could get by very well with half a dozen.
If you don't know C, any ASM, or shell scripting, I would suggest an attempt at learning the basics of them before going further with Perl.