A peak at 3400 cm-1 in pyridine IR spectrum is unusual. It cannot be attributed to N-H since pyridine does not have N-H. If the peak is broad, then I agree with Dr. Ravi shekar that it indicates the presence of water but in (good) amount. However, if it is a tiny peak then a (trace) amount of water is present.
Pyridine is a hygroscopic and is miscible with H2O. So, the peak at 3400 cm-1 is for O-H stretching. It should not be in the anhydrous pyridine is you handle it right under inert atmosphere.
Mr. Arabpour, the origin would be from H2O really, but you should check have you as well a broad band at about 1650-1630 cm-1 of dH2O. An example in attment is the spectrum of pyridine, and its mixture with THF containing however significant amouunt of H2O. If you have not this indication the origin of band at 3400 cm-1 would be of other inpurities.