37904513216808 has 128 divisors (see below), whose sum is σ = 114325182720000. Its totient is φ = 10230470035200.

The previous prime is 37904513216807. The next prime is 37904513216813. The reversal of 37904513216808 is 80861231540973.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (37904513216803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15898668 + ... + 18126683.

It is an arithmetic number, because the mean of its divisors is an integer number (893165490000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅37904513216808 = 75809026433616, but 3⋅37904513216808 = 113713539650424 is not.

Almost surely, 2^{37904513216808} is an apocalyptic number.

37904513216808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

37904513216808 is an abundant number, since it is smaller than the sum of its proper divisors (76420669503192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37904513216808 is a wasteful number, since it uses less digits than its factorization.

37904513216808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34025735 (or 34025731 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 37904513216808 in words is "thirty-seven trillion, nine hundred four billion, five hundred thirteen million, two hundred sixteen thousand, eight hundred eight".