38757796900 has 27 divisors (see below), whose sum is σ = 84108691569. Its totient is φ = 15502331280.

The previous prime is 38757796877. The next prime is 38757796901. The reversal of 38757796900 is 969775783.

The square root of 38757796900 is 196870.

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., 13952806884 + 24804990016 = 118122^2 + 157496^2 .

It is a super-2 number, since 2×38757796900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38757796901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1958857 + ... + 1978543.

Almost surely, 2^38757796900 is an apocalyptic number.

38757796900 is the 196870-th square number.

It is an amenable number.

38757796900 is an abundant number, since it is smaller than the sum of its proper divisors (45350894669).

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

38757796900 is an frugal number, since it uses more digits than its factorization.

38757796900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39388 (or 19694 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 61.

The spelling of 38757796900 in words is "thirty-eight billion, seven hundred fifty-seven million, seven hundred ninety-six thousand, nine hundred".