3688953512832 has 144 divisors (see below), whose sum is σ = 12348466228800. Its totient is φ = 1053986701824.

The previous prime is 3688953512819. The next prime is 3688953512833. The reversal of 3688953512832 is 2382153598863.

3688953512832 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 9 + 535 + 12 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3688953512832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688953512833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32619232 + ... + 32732127.

It is an arithmetic number, because the mean of its divisors is an integer number (85753237700).

Almost surely, 2^{3688953512832} is an apocalyptic number.

3688953512832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3688953512832 is an abundant number, since it is smaller than the sum of its proper divisors (8659512715968).

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

3688953512832 is a wasteful number, since it uses less digits than its factorization.

3688953512832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65351393 (or 65351371 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 3688953512832 in words is "three trillion, six hundred eighty-eight billion, nine hundred fifty-three million, five hundred twelve thousand, eight hundred thirty-two".