37638457117 has 2 divisors, whose sum is σ = 37638457118. Its totient is φ = 37638457116.

The previous prime is 37638457081. The next prime is 37638457123. The reversal of 37638457117 is 71175483673.

37638457117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34672674436 + 2965782681 = 186206^2 + 54459^2 .

It is a cyclic number.

It is not a de Polignac number, because 37638457117 - 2³⁵ = 3278718749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37638407117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18819228558 + 18819228559.

It is an arithmetic number, because the mean of its divisors is an integer number (18819228559).

Almost surely, 2^37638457117 is an apocalyptic number.

It is an amenable number.

37638457117 is a deficient number, since it is larger than the sum of its proper divisors (1).

37638457117 is an equidigital number, since it uses as much as digits as its factorization.

37638457117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2963520, while the sum is 52.

The spelling of 37638457117 in words is "thirty-seven billion, six hundred thirty-eight million, four hundred fifty-seven thousand, one hundred seventeen".