37921830912 has 720 divisors, whose sum is σ = 138730672080. Its totient is φ = 10107224064.

The previous prime is 37921830901. The next prime is 37921830971. The reversal of 37921830912 is 21903812973.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 335591368 + ... + 335591480.

It is an arithmetic number, because the mean of its divisors is an integer number (192681489).

Almost surely, 2^37921830912 is an apocalyptic number.

37921830912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37921830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69365336040).

37921830912 is an abundant number, since it is smaller than the sum of its proper divisors (100808841168).

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

37921830912 is a wasteful number, since it uses less digits than its factorization.

37921830912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 37921830912 in words is "thirty-seven billion, nine hundred twenty-one million, eight hundred thirty thousand, nine hundred twelve".