38375634609 has 27 divisors (see below), whose sum is σ = 60035380587. Its totient is φ = 23611073616.

The previous prime is 38375634587. The next prime is 38375634611. The reversal of 38375634609 is 90643657383.

The square root of 38375634609 is 195897.

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

38375634609 is a `hidden beast` number, since 3 + 8 + 37 + 563 + 46 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5676869025 + 32698765584 = 75345^2 + 180828^2 .

It is a de Polignac number, because none of the positive numbers 2^k-38375634609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38375634109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7637472 + ... + 7642494.

Almost surely, 2^38375634609 is an apocalyptic number.

38375634609 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

38375634609 is the 195897-th square number.

38375634609 is the 97949-th centered octagonal number.

It is an amenable number.

38375634609 is a deficient number, since it is larger than the sum of its proper divisors (21659745978).

38375634609 is an frugal number, since it uses more digits than its factorization.

38375634609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10078 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 38375634609 in words is "thirty-eight billion, three hundred seventy-five million, six hundred thirty-four thousand, six hundred nine".