3335904 has 168 divisors, whose sum is σ = 11568312. Its totient is φ = 933120.

The previous prime is 3335903. The next prime is 3335923. The reversal of 3335904 is 4095333.

3335904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3335904² = 22256510994432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3335903) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 256602 + ... + 256614.

It is an arithmetic number, because the mean of its divisors is an integer number (68859).

Almost surely, 2^3335904 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 3335904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784156).

3335904 is an abundant number, since it is smaller than the sum of its proper divisors (8232408).

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

3335904 is a wasteful number, since it uses less digits than its factorization.

3335904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3335904 is about 1826.4457287311. The cubic root of 3335904 is about 149.4185490106.

It can be divided in two parts, 33 and 35904, that added together give a cube (35937 = 33³).

The spelling of 3335904 in words is "three million, three hundred thirty-five thousand, nine hundred four".