37929800411712 has 672 divisors, whose sum is σ = 126688499683200. Its totient is φ = 11035384012800.

The previous prime is 37929800411677. The next prime is 37929800411731. The reversal of 37929800411712 is 21711400892973.

37929800411712 is a `hidden beast` number, since 3 + 79 + 2 + 98 + 0 + 0 + 411 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2893410214 + ... + 2893423322.

It is an arithmetic number, because the mean of its divisors is an integer number (188524553100).

Almost surely, 2^{37929800411712} is an apocalyptic number.

37929800411712 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 37929800411712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63344249841600).

37929800411712 is an abundant number, since it is smaller than the sum of its proper divisors (88758699271488).

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

37929800411712 is a wasteful number, since it uses less digits than its factorization.

37929800411712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13380 (or 13335 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 37929800411712 in words is "thirty-seven trillion, nine hundred twenty-nine billion, eight hundred million, four hundred eleven thousand, seven hundred twelve".