Sir, I have received rank -3904 AIR... What are the possible colleges for me?

Hello student,
With a rank of 3904, you can procure a seat in the following government IHM's when comparing the results of previous years :

• IHM Gurdaspur
• IHM Guwahati
• IHM Gwalior
• IHM Hajipur
• IHM Shimla
• IHM Shillong
• IHM Srinagar

For the above mentioned colleges, the closing ranks were around 5,000. But scores and ranks vary each year with difficulty level of the question paper and availability of seats. However you can predict the colleges which you are likely to get using the given link
https://hospitality.careers360.com/nchm-jee-college-predictor
Good luck