38676446083521 has 81 divisors (see below), whose sum is σ = 58830676479939. Its totient is φ = 24482913725952.

The previous prime is 38676446083511. The next prime is 38676446083579. The reversal of 38676446083521 is 12538064467683.

It is a happy number.

The square root of 38676446083521 is 6219039.

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

38676446083521 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 6 + 44 + 60 + 8 + 3 + 521 = 666.

38676446083521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9370853604225 + 29305592479296 = 3061185^2 + 5413464^2 .

It is not a de Polignac number, because 38676446083521 - 2⁵ = 38676446083489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38676446083501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 82818942130 + ... + 82818942596.

Almost surely, 2^{38676446083521} is an apocalyptic number.

38676446083521 is the 6219039-th square number.

38676446083521 is the 3109520-th centered octagonal number.

It is an amenable number.

38676446083521 is a deficient number, since it is larger than the sum of its proper divisors (20154230396418).

38676446083521 is an frugal number, since it uses more digits than its factorization.

38676446083521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 38676446083521 in words is "thirty-eight trillion, six hundred seventy-six billion, four hundred forty-six million, eighty-three thousand, five hundred twenty-one".