Without the N, it is ambiguous whether the propanamide is bound by the CARBON to the benzene ring or to the nitrogen.
e.g. (3-ClPh)-CH2CH2C(O)NH2 or CH3CH2C(O)NH-(3-ClPh)
See what I mean?
You need the N in the name there to alleviate the confusion. Hence, N-(3-chlorophenyl)-propanamide.