3902164 has 36 divisors (see below), whose sum is σ = 8145984. Its totient is φ = 1629936.

The previous prime is 3902149. The next prime is 3902167. The reversal of 3902164 is 4612093.

3902164 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

3902164 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3902167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8197 + ... + 8659.

Almost surely, 2^3902164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3902164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072992).

3902164 is an abundant number, since it is smaller than the sum of its proper divisors (4243820).

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

3902164 is a wasteful number, since it uses less digits than its factorization.

3902164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 3902164 is about 1975.3895818294. The cubic root of 3902164 is about 157.4351996803.

The spelling of 3902164 in words is "three million, nine hundred two thousand, one hundred sixty-four".