3376535904 has 360 divisors, whose sum is σ = 11837138040. Its totient is φ = 910393344.

The previous prime is 3376535887. The next prime is 3376535909. The reversal of 3376535904 is 4095356733.

3376535904 is a `hidden beast` number, since 3 + 3 + 7 + 6 + 53 + 590 + 4 = 666.

It is a super-2 number, since 2×3376535904² = 22801989422002194432, 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 3376535904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3376535909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13138144 + ... + 13138400.

It is an arithmetic number, because the mean of its divisors is an integer number (32880939).

Almost surely, 2^3376535904 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 3376535904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918569020).

3376535904 is an abundant number, since it is smaller than the sum of its proper divisors (8460602136).

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

3376535904 is a wasteful number, since it uses less digits than its factorization.

3376535904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 288 counting only the distinct ones).

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

The square root of 3376535904 is about 58107.9676464424. The cubic root of 3376535904 is about 1500.2275068254.

The spelling of 3376535904 in words is "three billion, three hundred seventy-six million, five hundred thirty-five thousand, nine hundred four".