38679482241 has 9 divisors (see below), whose sum is σ = 55871215491. Its totient is φ = 25785928152.

The previous prime is 38679482197. The next prime is 38679482251. The reversal of 38679482241 is 14228497683.

The square root of 38679482241 is 196671.

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., 27697280625 + 10982201616 = 166425^2 + 104796^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 38679482241 - 2²⁵ = 38645927809 is a prime.

It is a super-2 number, since 2×38679482241² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38679482251) 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, 557235 + ... + 622791.

Almost surely, 2^38679482241 is an apocalyptic number.

38679482241 is the 196671-st square number.

38679482241 is the 98336-th centered octagonal number.

It is an amenable number.

38679482241 is a deficient number, since it is larger than the sum of its proper divisors (17191733250).

38679482241 is an frugal number, since it uses more digits than its factorization.

38679482241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131120 (or 65560 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 38679482241 in words is "thirty-eight billion, six hundred seventy-nine million, four hundred eighty-two thousand, two hundred forty-one".