38007977133721 has 9 divisors (see below), whose sum is σ = 44213411356821. Its totient is φ = 32578229124252.

The previous prime is 38007977133691. The next prime is 38007977133751. The reversal of 38007977133721 is 12733177970083.

The square root of 38007977133721 is 6165061.

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

It is an interprime number because it is at equal distance from previous prime (38007977133691) and next prime (38007977133751).

It is not a de Polignac number, because 38007977133721 - 2²³ = 38007968745113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38007977133751) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42715066 + ... + 43595788.

It is an arithmetic number, because the mean of its divisors is an integer number (4912601261869).

Almost surely, 2^{38007977133721} is an apocalyptic number.

38007977133721 is the 6165061-st square number.

38007977133721 is the 3082531-st centered octagonal number.

It is an amenable number.

38007977133721 is a deficient number, since it is larger than the sum of its proper divisors (6205434223100).

38007977133721 is an frugal number, since it uses more digits than its factorization.

38007977133721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761460 (or 880730 counting only the distinct ones).

The product of its (nonzero) digits is 9335088, while the sum is 58.

The spelling of 38007977133721 in words is "thirty-eight trillion, seven billion, nine hundred seventy-seven million, one hundred thirty-three thousand, seven hundred twenty-one".