3508772904 has 320 divisors, whose sum is σ = 12204931200. Its totient is φ = 917070336.

The previous prime is 3508772903. The next prime is 3508772909. The reversal of 3508772904 is 4092778053.

3508772904 is a `hidden beast` number, since 350 + 8 + 7 + 7 + 290 + 4 = 666.

It is a super-2 number, since 2×3508772904² = 24622974583689186432, 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 3508772904.

It is not an unprimeable number, because it can be changed into a prime (3508772903) 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 79 ways as a sum of consecutive naturals, for example, 9257787 + ... + 9258165.

It is an arithmetic number, because the mean of its divisors is an integer number (38140410).

Almost surely, 2^3508772904 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 3508772904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102465600).

3508772904 is an abundant number, since it is smaller than the sum of its proper divisors (8696158296).

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

3508772904 is a wasteful number, since it uses less digits than its factorization.

3508772904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3508772904 is about 59234.8959988958. The cubic root of 3508772904 is about 1519.5619848244.

The spelling of 3508772904 in words is "three billion, five hundred eight million, seven hundred seventy-two thousand, nine hundred four".