38407768441 has 9 divisors (see below), whose sum is σ = 44680020399. Its totient is φ = 32919768504.

The previous prime is 38407768439. The next prime is 38407768453. The reversal of 38407768441 is 14486770483.

It is a happy number.

The square root of 38407768441 is 195979.

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., 36025938025 + 2381830416 = 189805^2 + 48804^2 .

It is not a de Polignac number, because 38407768441 - 2¹ = 38407768439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38407778441) 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, 1357855 + ... + 1385851.

It is an arithmetic number, because the mean of its divisors is an integer number (4964446711).

Almost surely, 2^38407768441 is an apocalyptic number.

38407768441 is the 195979-th square number.

38407768441 is the 97990-th centered octagonal number.

It is an amenable number.

38407768441 is a deficient number, since it is larger than the sum of its proper divisors (6272251958).

38407768441 is an frugal number, since it uses more digits than its factorization.

38407768441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56008 (or 28004 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 38407768441 in words is "thirty-eight billion, four hundred seven million, seven hundred sixty-eight thousand, four hundred forty-one".