37950861312 has 624 divisors, whose sum is σ = 140250888960. Its totient is φ = 9985130496.

The previous prime is 37950861301. The next prime is 37950861313. The reversal of 37950861312 is 21316805973.

37950861312 is a `hidden beast` number, since 3 + 7 + 9 + 508 + 6 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×37950861312² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37950861313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90574639 + ... + 90575057.

It is an arithmetic number, because the mean of its divisors is an integer number (224761040).

Almost surely, 2^37950861312 is an apocalyptic number.

37950861312 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 37950861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70125444480).

37950861312 is an abundant number, since it is smaller than the sum of its proper divisors (102300027648).

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

37950861312 is an equidigital number, since it uses as much as digits as its factorization.

37950861312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 37950861312 in words is "thirty-seven billion, nine hundred fifty million, eight hundred sixty-one thousand, three hundred twelve".