38717688675744 has 768 divisors, whose sum is σ = 124580216678400. Its totient is φ = 11626675200000.

The previous prime is 38717688675709. The next prime is 38717688675751. The reversal of 38717688675744 is 44757688671783.

38717688675744 is a `hidden beast` number, since 38 + 7 + 1 + 7 + 6 + 8 + 8 + 6 + 7 + 574 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36838904019 + ... + 36838905069.

It is an arithmetic number, because the mean of its divisors is an integer number (162213823800).

Almost surely, 2^{38717688675744} 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 38717688675744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62290108339200).

38717688675744 is an abundant number, since it is smaller than the sum of its proper divisors (85862528002656).

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

38717688675744 is a wasteful number, since it uses less digits than its factorization.

38717688675744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1572 counting only the distinct ones).

The product of its digits is 10621255680, while the sum is 81.

The spelling of 38717688675744 in words is "thirty-eight trillion, seven hundred seventeen billion, six hundred eighty-eight million, six hundred seventy-five thousand, seven hundred forty-four".