3335675904 has 280 divisors, whose sum is σ = 10894957128. Its totient is φ = 1008599040.

The previous prime is 3335675899. The next prime is 3335675957. The reversal of 3335675904 is 4095765333.

3335675904 is a `hidden beast` number, since 3 + 3 + 3 + 56 + 7 + 590 + 4 = 666.

It is a super-2 number, since 2×3335675904² = 22253467473052434432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3335675904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7298844 + ... + 7299300.

Almost surely, 2^3335675904 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 3335675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447478564).

3335675904 is an abundant number, since it is smaller than the sum of its proper divisors (7559281224).

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

3335675904 is an equidigital number, since it uses as much as digits as its factorization.

3335675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The square root of 3335675904 is about 57755.3106129644. The cubic root of 3335675904 is about 1494.1514338201.

The spelling of 3335675904 in words is "three billion, three hundred thirty-five million, six hundred seventy-five thousand, nine hundred four".