38024884224 has 234 divisors, whose sum is σ = 116115452180. Its totient is φ = 11956322304.

The previous prime is 38024884223. The next prime is 38024884229. The reversal of 38024884224 is 42248842083.

38024884224 is a `hidden beast` number, since 380 + 2 + 48 + 8 + 4 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38024884224.

It is not an unprimeable number, because it can be changed into a prime (38024884223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 163196812 + ... + 163197044.

Almost surely, 2^38024884224 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 38024884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58057726090).

38024884224 is an abundant number, since it is smaller than the sum of its proper divisors (78090567956).

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

38024884224 is an equidigital number, since it uses as much as digits as its factorization.

38024884224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 38024884224 in words is "thirty-eight billion, twenty-four million, eight hundred eighty-four thousand, two hundred twenty-four".