38793241600 has 99 divisors (see below), whose sum is σ = 96238442001. Its totient is φ = 15504691200.

The previous prime is 38793241573. The next prime is 38793241633. The reversal of 38793241600 is 614239783.

The square root of 38793241600 is 196960.

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., 13965566976 + 24827674624 = 118176^2 + 157568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31512985 + ... + 31514215.

Almost surely, 2^38793241600 is an apocalyptic number.

38793241600 is the 196960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38793241600

38793241600 is an abundant number, since it is smaller than the sum of its proper divisors (57445200401).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38793241600 is an frugal number, since it uses more digits than its factorization.

38793241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 38793241600 in words is "thirty-eight billion, seven hundred ninety-three million, two hundred forty-one thousand, six hundred".