38915847441 has 45 divisors (see below), whose sum is σ = 60834823819. Its totient is φ = 24789862944.

The previous prime is 38915847419. The next prime is 38915847479. The reversal of 38915847441 is 14474851983.

The square root of 38915847441 is 197271.

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

38915847441 is a `hidden beast` number, since 3 + 8 + 9 + 158 + 47 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16206563025 + 22709284416 = 127305^2 + 150696^2 .

It is not a de Polignac number, because 38915847441 - 2⁹ = 38915846929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38915847941) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 40834621 + ... + 40835573.

Almost surely, 2^38915847441 is an apocalyptic number.

38915847441 is the 197271-st square number.

38915847441 is the 98636-th centered octagonal number.

It is an amenable number.

38915847441 is a deficient number, since it is larger than the sum of its proper divisors (21918976378).

38915847441 is an frugal number, since it uses more digits than its factorization.

38915847441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 979 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 38915847441 in words is "thirty-eight billion, nine hundred fifteen million, eight hundred forty-seven thousand, four hundred forty-one".