38336080224 has 192 divisors, whose sum is σ = 109587582720. Its totient is φ = 11664414720.

The previous prime is 38336080217. The next prime is 38336080253. The reversal of 38336080224 is 42208063383.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 51875247 + ... + 51875985.

It is an arithmetic number, because the mean of its divisors is an integer number (570768660).

Almost surely, 2^38336080224 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 38336080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54793791360).

38336080224 is an abundant number, since it is smaller than the sum of its proper divisors (71251502496).

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

38336080224 is a wasteful number, since it uses less digits than its factorization.

38336080224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 38336080224 in words is "thirty-eight billion, three hundred thirty-six million, eighty thousand, two hundred twenty-four".