38974656400 has 45 divisors (see below), whose sum is σ = 93646098993. Its totient is φ = 15588283200.

The previous prime is 38974656377. The next prime is 38974656403. The reversal of 38974656400 is 465647983.

The square root of 38974656400 is 197420.

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., 14030876304 + 24943780096 = 118452^2 + 157936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38974656403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3943465 + ... + 3953335.

Almost surely, 2^38974656400 is an apocalyptic number.

38974656400 is the 197420-th square number.

It is an amenable number.

38974656400 is an abundant number, since it is smaller than the sum of its proper divisors (54671442593).

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

38974656400 is an frugal number, since it uses more digits than its factorization.

38974656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19760 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 38974656400 in words is "thirty-eight billion, nine hundred seventy-four million, six hundred fifty-six thousand, four hundred".