38307256065 has 96 divisors (see below), whose sum is σ = 73550000160. Its totient is φ = 18321666048.

The previous prime is 38307256061. The next prime is 38307256069. The reversal of 38307256065 is 56065270383.

38307256065 is a `hidden beast` number, since 3 + 8 + 30 + 7 + 2 + 5 + 606 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (38307256061) and next prime (38307256069).

It can be written as a sum of positive squares in 16 ways, for example, as 216707841 + 38090548224 = 14721^2 + 195168^2 .

It is not a de Polignac number, because 38307256065 - 2² = 38307256061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 38307256065.

It is not an unprimeable number, because it can be changed into a prime (38307256061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27899719 + ... + 27901091.

It is an arithmetic number, because the mean of its divisors is an integer number (766145835).

Almost surely, 2^38307256065 is an apocalyptic number.

It is an amenable number.

38307256065 is a deficient number, since it is larger than the sum of its proper divisors (35242744095).

38307256065 is a wasteful number, since it uses less digits than its factorization.

38307256065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 38307256065 in words is "thirty-eight billion, three hundred seven million, two hundred fifty-six thousand, sixty-five".