38447366400 has 729 divisors, whose sum is σ = 148525675389. Its totient is φ = 9487134720.

The previous prime is 38447366383. The next prime is 38447366429. The reversal of 38447366400 is 466374483.

The square root of 38447366400 is 196080.

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

38447366400 is a `hidden beast` number, since 3 + 84 + 473 + 66 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13841051904 + 24606314496 = 117648^2 + 156864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 894124779 + ... + 894124821.

Almost surely, 2^38447366400 is an apocalyptic number.

38447366400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38447366400 is the 196080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38447366400

38447366400 is an abundant number, since it is smaller than the sum of its proper divisors (110078308989).

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

38447366400 is a wasteful number, since it uses less digits than its factorization.

38447366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 38447366400 in words is "thirty-eight billion, four hundred forty-seven million, three hundred sixty-six thousand, four hundred".