38401352765127 has 48 divisors (see below), whose sum is σ = 64072800499968. Its totient is φ = 21903798954240.

The previous prime is 38401352765123. The next prime is 38401352765173. The reversal of 38401352765127 is 72156725310483.

38401352765127 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 3 + 52 + 76 + 512 + 7 = 666.

It is not a de Polignac number, because 38401352765127 - 2² = 38401352765123 is a prime.

It is a super-2 number, since 2×38401352765127² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401352765123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53436798 + ... + 54150660.

It is an arithmetic number, because the mean of its divisors is an integer number (1334850010416).

Almost surely, 2^{38401352765127} is an apocalyptic number.

38401352765127 is a deficient number, since it is larger than the sum of its proper divisors (25671447734841).

38401352765127 is a wasteful number, since it uses less digits than its factorization.

38401352765127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745860 (or 745857 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 38401352765127 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-two million, seven hundred sixty-five thousand, one hundred twenty-seven".