38475607104 has 189 divisors, whose sum is σ = 121383945319. Its totient is φ = 11643582720.

The previous prime is 38475607097. The next prime is 38475607129. The reversal of 38475607104 is 40170657483.

The square root of 38475607104 is 196152.

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

38475607104 is a `hidden beast` number, since 3 + 84 + 7 + 560 + 7 + 1 + 0 + 4 = 666.

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 38475607104.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51783757 + ... + 51784499.

Almost surely, 2^38475607104 is an apocalyptic number.

38475607104 is the 196152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38475607104

38475607104 is an abundant number, since it is smaller than the sum of its proper divisors (82908338215).

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

38475607104 is an equidigital number, since it uses as much as digits as its factorization.

38475607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 38475607104 in words is "thirty-eight billion, four hundred seventy-five million, six hundred seven thousand, one hundred four".