37882004689 has 15 divisors (see below), whose sum is σ = 40621073707. Its totient is φ = 35320439776.

The previous prime is 37882004647. The next prime is 37882004711. The reversal of 37882004689 is 98640028873.

The square root of 37882004689 is 194633.

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., 29492910225 + 8389094464 = 171735^2 + 91592^2 .

It is not a de Polignac number, because 37882004689 - 2⁷ = 37882004561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37883004689) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 354037374 + ... + 354037480.

Almost surely, 2^37882004689 is an apocalyptic number.

37882004689 is the 194633-rd square number.

37882004689 is the 97317-th centered octagonal number.

It is an amenable number.

37882004689 is a deficient number, since it is larger than the sum of its proper divisors (2739069018).

37882004689 is an frugal number, since it uses more digits than its factorization.

37882004689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 37882004689 in words is "thirty-seven billion, eight hundred eighty-two million, four thousand, six hundred eighty-nine".