38680288133817 has 64 divisors (see below), whose sum is σ = 58632664043520. Its totient is φ = 22477946956800.

The previous prime is 38680288133771. The next prime is 38680288133831. The reversal of 38680288133817 is 71833188208683.

It is not a de Polignac number, because 38680288133817 - 2¹⁰ = 38680288132793 is a prime.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (38680288133867) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26090817 + ... + 27533457.

It is an arithmetic number, because the mean of its divisors is an integer number (916135375680).

Almost surely, 2^{38680288133817} is an apocalyptic number.

It is an amenable number.

38680288133817 is a deficient number, since it is larger than the sum of its proper divisors (19952375909703).

38680288133817 is a wasteful number, since it uses less digits than its factorization.

38680288133817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443054.

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 38680288133817 in words is "thirty-eight trillion, six hundred eighty billion, two hundred eighty-eight million, one hundred thirty-three thousand, eight hundred seventeen".