38205938304 has 128 divisors (see below), whose sum is σ = 113622696000. Its totient is φ = 12637946880.

The previous prime is 38205938293. The next prime is 38205938377. The reversal of 38205938304 is 40383950283.

38205938304 is a `hidden beast` number, since 3 + 8 + 20 + 593 + 8 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 38205938304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410542 + ... + 494930.

Almost surely, 2^38205938304 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 38205938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56811348000).

38205938304 is an abundant number, since it is smaller than the sum of its proper divisors (75416757696).

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

38205938304 is a wasteful number, since it uses less digits than its factorization.

38205938304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84543 (or 84525 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 38205938304 in words is "thirty-eight billion, two hundred five million, nine hundred thirty-eight thousand, three hundred four".