37674057312 has 96 divisors (see below), whose sum is σ = 110144734560. Its totient is φ = 12528069120.

The previous prime is 37674057283. The next prime is 37674057313. The reversal of 37674057312 is 21375047673.

37674057312 is a `hidden beast` number, since 3 + 7 + 6 + 74 + 0 + 573 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37674057313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311958 + ... + 415530.

It is an arithmetic number, because the mean of its divisors is an integer number (1147340985).

Almost surely, 2^37674057312 is an apocalyptic number.

37674057312 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 37674057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55072367280).

37674057312 is an abundant number, since it is smaller than the sum of its proper divisors (72470677248).

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

37674057312 is a wasteful number, since it uses less digits than its factorization.

37674057312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104013 (or 103999 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 37674057312 in words is "thirty-seven billion, six hundred seventy-four million, fifty-seven thousand, three hundred twelve".