Sorry but with this rank you can't get admission in NITs or IIITs as the cutoff for most of the government colleges is below 20-25k. But if you have state quota in any of the lower NITs you could get a seat. Moreover you can easily get admission into some good private colleges with this rank.

You can predict what colleges you might get with this rank by going through the link of college predictor tool given below.

https://engineering.careers360.com/jee-main-college-predictor

Hope it helps.

Sorry to say but you will not get NIT with this rank.

As per your rank and previous year cutoff, the colleges you get are:-

Pune institute of computer technology

IIIT Pune

YMCA college of engineering,Faridabad

To know more about your chances of getting other colleges check out the college predictor link below:

https://engineering.careers360.com/jee-main-college-predictor