37693445904 has 75 divisors (see below), whose sum is σ = 109116001093. Its totient is φ = 12562152192.

The previous prime is 37693445893. The next prime is 37693445953. The reversal of 37693445904 is 40954439673.

It is a happy number.

The square root of 37693445904 is 194148.

It is a perfect power (a square), and thus also a powerful number.

37693445904 is a `hidden beast` number, since 3 + 7 + 6 + 9 + 3 + 44 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35925411600 + 1768034304 = 189540^2 + 42048^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6986632 + ... + 6992024.

Almost surely, 2^37693445904 is an apocalyptic number.

37693445904 is the 194148-th square number.

It is an amenable number.

37693445904 is an abundant number, since it is smaller than the sum of its proper divisors (71422555189).

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

37693445904 is an frugal number, since it uses more digits than its factorization.

37693445904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 37693445904 in words is "thirty-seven billion, six hundred ninety-three million, four hundred forty-five thousand, nine hundred four".