3804800160800 has 144 divisors (see below), whose sum is σ = 9339495359040. Its totient is φ = 1513565813760.

The previous prime is 3804800160797. The next prime is 3804800160809. The reversal of 3804800160800 is 80610084083.

3804800160800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3804800160809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633391397 + ... + 633397403.

It is an arithmetic number, because the mean of its divisors is an integer number (64857606660).

Almost surely, 2^{3804800160800} 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 3804800160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669747679520).

3804800160800 is an abundant number, since it is smaller than the sum of its proper divisors (5534695198240).

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

3804800160800 is a wasteful number, since it uses less digits than its factorization.

3804800160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10230 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 3804800160800 in words is "three trillion, eight hundred four billion, eight hundred million, one hundred sixty thousand, eight hundred".