383738852832000 has 1728 divisors, whose sum is σ = 1470348697079808. Its totient is φ = 88294440960000.

The previous prime is 383738852831993. The next prime is 383738852832047. The reversal of 383738852832000 is 238258837383.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18263701495 + ... + 18263722505.

It is an arithmetic number, because the mean of its divisors is an integer number (850896236736).

Almost surely, 2^{383738852832000} is an apocalyptic number.

383738852832000 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 383738852832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735174348539904).

383738852832000 is an abundant number, since it is smaller than the sum of its proper divisors (1086609844247808).

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

383738852832000 is a wasteful number, since it uses less digits than its factorization.

383738852832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21131 (or 21088 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 383738852832000 in words is "three hundred eighty-three trillion, seven hundred thirty-eight billion, eight hundred fifty-two million, eight hundred thirty-two thousand".