3904264 has 64 divisors (see below), whose sum is σ = 9354240. Its totient is φ = 1486080.

The previous prime is 3904261. The next prime is 3904283. The reversal of 3904264 is 4624093.

3904264 = T₁₂₀ + T₁₂₁ + ... + T₂₉₂.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3904261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22482 + ... + 22654.

It is an arithmetic number, because the mean of its divisors is an integer number (146160).

Almost surely, 2^3904264 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 3904264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677120).

3904264 is an abundant number, since it is smaller than the sum of its proper divisors (5449976).

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

3904264 is a wasteful number, since it uses less digits than its factorization.

3904264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3904264 is about 1975.9210510544. The cubic root of 3904264 is about 157.4634365448.

The spelling of 3904264 in words is "three million, nine hundred four thousand, two hundred sixty-four".