3812337984000 has 2560 divisors, whose sum is σ = 16401050265600. Its totient is φ = 780337152000.

The previous prime is 3812337983989. The next prime is 3812337984017. The reversal of 3812337984000 is 4897332183.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52223807964 + ... + 52223808036.

It is an arithmetic number, because the mean of its divisors is an integer number (6406660260).

Almost surely, 2^{3812337984000} is an apocalyptic number.

3812337984000 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 3812337984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8200525132800).

3812337984000 is an abundant number, since it is smaller than the sum of its proper divisors (12588712281600).

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

3812337984000 is an equidigital number, since it uses as much as digits as its factorization.

3812337984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 164 counting only the distinct ones).

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

The spelling of 3812337984000 in words is "three trillion, eight hundred twelve billion, three hundred thirty-seven million, nine hundred eighty-four thousand".