3364704 has 72 divisors (see below), whose sum is σ = 10941840. Its totient is φ = 960768.

The previous prime is 3364687. The next prime is 3364717. The reversal of 3364704 is 4074633.

3364704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3364704² = 22642466015232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182 + ... + 2850.

It is an arithmetic number, because the mean of its divisors is an integer number (151970).

Almost surely, 2^3364704 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 3364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470920).

3364704 is an abundant number, since it is smaller than the sum of its proper divisors (7577136).

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

3364704 is a wasteful number, since it uses less digits than its factorization.

3364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3364704 is about 1834.3129503986. The cubic root of 3364704 is about 149.8473112938.

The spelling of 3364704 in words is "three million, three hundred sixty-four thousand, seven hundred four".