38775204 has 72 divisors (see below), whose sum is σ = 109232760. Its totient is φ = 11515392.

The previous prime is 38775197. The next prime is 38775221. The reversal of 38775204 is 40257783.

38775204 is a `hidden beast` number, since 387 + 75 + 204 = 666.

38775204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3348900 + 35426304 = 1830^2 + 5952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12144 + ... + 15000.

Almost surely, 2^38775204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38775204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54616380).

38775204 is an abundant number, since it is smaller than the sum of its proper divisors (70457556).

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

38775204 is a wasteful number, since it uses less digits than its factorization.

38775204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 38775204 is about 6226.9739039119. The cubic root of 38775204 is about 338.4683236455.

The spelling of 38775204 in words is "thirty-eight million, seven hundred seventy-five thousand, two hundred four".