38783332224 has 768 divisors, whose sum is σ = 145861632000. Its totient is φ = 10053808128.

The previous prime is 38783332163. The next prime is 38783332241. The reversal of 38783332224 is 42223338783.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38783332224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173916177 + ... + 173916399.

It is an arithmetic number, because the mean of its divisors is an integer number (189924000).

Almost surely, 2^38783332224 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 38783332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72930816000).

38783332224 is an abundant number, since it is smaller than the sum of its proper divisors (107078299776).

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

38783332224 is a wasteful number, since it uses less digits than its factorization.

38783332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 38783332224 in words is "thirty-eight billion, seven hundred eighty-three million, three hundred thirty-two thousand, two hundred twenty-four".