37813121080 has 128 divisors (see below), whose sum is σ = 104364650880. Its totient is φ = 12034621440.

The previous prime is 37813121057. The next prime is 37813121107. The reversal of 37813121080 is 8012131873.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293070 + ... + 401890.

It is an arithmetic number, because the mean of its divisors is an integer number (815348835).

Almost surely, 2^37813121080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37813121080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52182325440).

37813121080 is an abundant number, since it is smaller than the sum of its proper divisors (66551529800).

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

37813121080 is a wasteful number, since it uses less digits than its factorization.

37813121080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108929 (or 108925 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 37813121080 in words is "thirty-seven billion, eight hundred thirteen million, one hundred twenty-one thousand, eighty".