38924008704 has 288 divisors, whose sum is σ = 135797473280. Its totient is φ = 10761984000.

The previous prime is 38924008693. The next prime is 38924008787. The reversal of 38924008704 is 40780042983.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 38924008704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1486929 + ... + 1512879.

Almost surely, 2^38924008704 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 38924008704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67898736640).

38924008704 is an abundant number, since it is smaller than the sum of its proper divisors (96873464576).

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

38924008704 is a wasteful number, since it uses less digits than its factorization.

38924008704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26014 (or 25994 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38924008704 in words is "thirty-eight billion, nine hundred twenty-four million, eight thousand, seven hundred four".