38900755264320 has 168 divisors, whose sum is σ = 133810457254344. Its totient is φ = 10372909252608.

The previous prime is 38900755264279. The next prime is 38900755264339. The reversal of 38900755264320 is 2346255700983.

38900755264320 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 0 + 7 + 55 + 264 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1963339020864 + 36937416243456 = 1401192^2 + 6077616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48379812 + ... + 49177308.

Almost surely, 2^{38900755264320} is an apocalyptic number.

38900755264320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38900755264320 is an abundant number, since it is smaller than the sum of its proper divisors (94909701990024).

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

38900755264320 is a wasteful number, since it uses less digits than its factorization.

38900755264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814457 (or 814444 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 38900755264320 in words is "thirty-eight trillion, nine hundred billion, seven hundred fifty-five million, two hundred sixty-four thousand, three hundred twenty".