37806524721 has 81 divisors (see below), whose sum is σ = 65236750059. Its totient is φ = 21036744288.

The previous prime is 37806524713. The next prime is 37806524741. The reversal of 37806524721 is 12742560873.

The square root of 37806524721 is 194439.

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

It can be written as a sum of positive squares in only one way, i.e., 37042776225 + 763748496 = 192465^2 + 27636^2 .

It is not a de Polignac number, because 37806524721 - 2³ = 37806524713 is a prime.

It is a super-2 number, since 2×37806524721² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37806524711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 191911195 + ... + 191911391.

Almost surely, 2^37806524721 is an apocalyptic number.

37806524721 is the 194439-th square number.

37806524721 is the 97220-th centered octagonal number.

It is an amenable number.

37806524721 is a deficient number, since it is larger than the sum of its proper divisors (27430225338).

37806524721 is an equidigital number, since it uses as much as digits as its factorization.

37806524721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 37806524721 in words is "thirty-seven billion, eight hundred six million, five hundred twenty-four thousand, seven hundred twenty-one".