38463054400 has 63 divisors (see below), whose sum is σ = 94662460281. Its totient is φ = 15382083840.

The previous prime is 38463054389. The next prime is 38463054401. The reversal of 38463054400 is 445036483.

The square root of 38463054400 is 196120.

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., 13846699584 + 24616354816 = 117672^2 + 156896^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38463054400.

It is not an unprimeable number, because it can be changed into a prime (38463054401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7842349 + ... + 7847251.

Almost surely, 2^38463054400 is an apocalyptic number.

38463054400 is the 196120-th square number.

It is an amenable number.

38463054400 is an abundant number, since it is smaller than the sum of its proper divisors (56199405881).

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

38463054400 is an frugal number, since it uses more digits than its factorization.

38463054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9828 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 38463054400 in words is "thirty-eight billion, four hundred sixty-three million, fifty-four thousand, four hundred".