37689951321 has 135 divisors (see below), whose sum is σ = 64826482413. Its totient is φ = 21805692480.

The previous prime is 37689951287. The next prime is 37689951323. The reversal of 37689951321 is 12315998673.

The square root of 37689951321 is 194139.

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

37689951321 is a `hidden beast` number, since 37 + 6 + 8 + 99 + 513 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15045720921 + 22644230400 = 122661^2 + 150480^2 .

It is not a de Polignac number, because 37689951321 - 2¹³ = 37689943129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37689951323) 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 134 ways as a sum of consecutive naturals, for example, 711131131 + ... + 711131183.

Almost surely, 2^37689951321 is an apocalyptic number.

37689951321 is the 194139-th square number.

37689951321 is the 97070-th centered octagonal number.

It is an amenable number.

37689951321 is a deficient number, since it is larger than the sum of its proper divisors (27136531092).

37689951321 is an equidigital number, since it uses as much as digits as its factorization.

37689951321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 104 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 37689951321 in words is "thirty-seven billion, six hundred eighty-nine million, nine hundred fifty-one thousand, three hundred twenty-one".