3390904 has 48 divisors (see below), whose sum is σ = 7277760. Its totient is φ = 1478400.

The previous prime is 3390901. The next prime is 3390931. The reversal of 3390904 is 4090933.

3390904 = T₉ + T₁₀ + ... + T₂₇₂.

It is a super-2 number, since 2×3390904² = 22996459874432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390901) 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, 29952 + ... + 30064.

It is an arithmetic number, because the mean of its divisors is an integer number (151620).

Almost surely, 2^3390904 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 3390904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638880).

3390904 is an abundant number, since it is smaller than the sum of its proper divisors (3886856).

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

3390904 is a wasteful number, since it uses less digits than its factorization.

3390904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 3390904 is about 1841.4407402901. The cubic root of 3390904 is about 150.2352456851.

The spelling of 3390904 in words is "three million, three hundred ninety thousand, nine hundred four".