38682336000 has 576 divisors, whose sum is σ = 160217680896. Its totient is φ = 8036352000.

The previous prime is 38682335977. The next prime is 38682336029. The reversal of 38682336000 is 63328683.

It is a self number, because there is not a number n which added to its sum of digits gives 38682336000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7389384 + ... + 7394616.

It is an arithmetic number, because the mean of its divisors is an integer number (278155696).

Almost surely, 2^38682336000 is an apocalyptic number.

38682336000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38682336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80108840448).

38682336000 is an abundant number, since it is smaller than the sum of its proper divisors (121535344896).

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

38682336000 is a wasteful number, since it uses less digits than its factorization.

38682336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5285 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 38682336000 in words is "thirty-eight billion, six hundred eighty-two million, three hundred thirty-six thousand".