37638531357 has 48 divisors (see below), whose sum is σ = 59880643200. Its totient is φ = 20959655808.

The previous prime is 37638531299. The next prime is 37638531361. The reversal of 37638531357 is 75313583673.

37638531357 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 37638531357 - 2⁸ = 37638531101 is a prime.

It is a super-2 number, since 2×37638531357² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37638531377) 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, 1144648 + ... + 1177070.

It is an arithmetic number, because the mean of its divisors is an integer number (1247513400).

Almost surely, 2^37638531357 is an apocalyptic number.

It is an amenable number.

37638531357 is a deficient number, since it is larger than the sum of its proper divisors (22242111843).

37638531357 is a wasteful number, since it uses less digits than its factorization.

37638531357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32642 (or 32635 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 51.

The spelling of 37638531357 in words is "thirty-seven billion, six hundred thirty-eight million, five hundred thirty-one thousand, three hundred fifty-seven".