Dear Aspirant

If 36 is your marks then your percentile is approximately 62.76 - 66.44 and if 36 is your nta score then your CRL rank is around is 654720 - 736000

There no  chance for you getting NITs you can check other college

You can verify your rank  by using link given below

And for your college preferences government or private you can use college predictor tool which help out find to your college

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

I hope it will help you

Thank you