38766250224 has 180 divisors, whose sum is σ = 118278646200. Its totient is φ = 11846914560.

The previous prime is 38766250219. The next prime is 38766250247. The reversal of 38766250224 is 42205266783.

38766250224 is a `hidden beast` number, since 3 + 87 + 6 + 62 + 502 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38766250224.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 3620719 + ... + 3631409.

It is an arithmetic number, because the mean of its divisors is an integer number (657103590).

Almost surely, 2^38766250224 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 38766250224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59139323100).

38766250224 is an abundant number, since it is smaller than the sum of its proper divisors (79512395976).

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

38766250224 is a wasteful number, since it uses less digits than its factorization.

38766250224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 38766250224 in words is "thirty-eight billion, seven hundred sixty-six million, two hundred fifty thousand, two hundred twenty-four".