3966304 has 48 divisors (see below), whose sum is σ = 8654688. Its totient is φ = 1779712.

The previous prime is 3966293. The next prime is 3966323. The reversal of 3966304 is 4036693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12354 + ... + 12670.

It is an arithmetic number, because the mean of its divisors is an integer number (180306).

Almost surely, 2^3966304 is an apocalyptic number.

3966304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327344).

3966304 is an abundant number, since it is smaller than the sum of its proper divisors (4688384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3966304 is a wasteful number, since it uses less digits than its factorization.

3966304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 3966304 is about 1991.5581839354. The cubic root of 3966304 is about 158.2931054465.

The spelling of 3966304 in words is "three million, nine hundred sixty-six thousand, three hundred four".