3839801347200 has 576 divisors, whose sum is σ = 15843952797120. Its totient is φ = 810154598400.

The previous prime is 3839801347169. The next prime is 3839801347201. The reversal of 3839801347200 is 27431089383.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3839801347200.

It is not an unprimeable number, because it can be changed into a prime (3839801347201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5801245 + ... + 6429155.

It is an arithmetic number, because the mean of its divisors is an integer number (27506862495).

Almost surely, 2^{3839801347200} is an apocalyptic number.

3839801347200 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 3839801347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921976398560).

3839801347200 is an abundant number, since it is smaller than the sum of its proper divisors (12004151449920).

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

3839801347200 is a wasteful number, since it uses less digits than its factorization.

3839801347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627965 (or 627941 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 3839801347200 in words is "three trillion, eight hundred thirty-nine billion, eight hundred one million, three hundred forty-seven thousand, two hundred".