38005892401 has 9 divisors (see below), whose sum is σ = 38312256171. Its totient is φ = 37701963792.

The previous prime is 38005892383. The next prime is 38005892479. The reversal of 38005892401 is 10429850083.

The square root of 38005892401 is 194951.

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

38005892401 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., 22324842225 + 15681050176 = 149415^2 + 125224^2 .

It is not a de Polignac number, because 38005892401 - 2²³ = 37997503793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38005898401) 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, 26707576 + ... + 26708998.

Almost surely, 2^38005892401 is an apocalyptic number.

38005892401 is the 194951-st square number.

38005892401 is the 97476-th centered octagonal number.

It is an amenable number.

38005892401 is a deficient number, since it is larger than the sum of its proper divisors (306363770).

38005892401 is an frugal number, since it uses more digits than its factorization.

38005892401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 38005892401 in words is "thirty-eight billion, five million, eight hundred ninety-two thousand, four hundred one".