38401375647657 has 32 divisors (see below), whose sum is σ = 58293582575616. Its totient is φ = 22258424073600.

The previous prime is 38401375647629. The next prime is 38401375647667. The reversal of 38401375647657 is 75674657310483.

38401375647657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38401375647657 - 2³¹ = 38399228164009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38401375647667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533333 + ... + 8896845.

It is an arithmetic number, because the mean of its divisors is an integer number (1821674455488).

Almost surely, 2^{38401375647657} is an apocalyptic number.

It is an amenable number.

38401375647657 is a deficient number, since it is larger than the sum of its proper divisors (19892206927959).

38401375647657 is a wasteful number, since it uses less digits than its factorization.

38401375647657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370421.

The product of its (nonzero) digits is 355622400, while the sum is 66.

The spelling of 38401375647657 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, six hundred forty-seven thousand, six hundred fifty-seven".