3882836448000 has 2592 divisors, whose sum is σ = 16377214718592. Its totient is φ = 878051328000.

The previous prime is 3882836447981. The next prime is 3882836448013. The reversal of 3882836448000 is 8446382883.

3882836448000 is a `hidden beast` number, since 3 + 8 + 82 + 83 + 6 + 4 + 480 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 94703327980 + ... + 94703328020.

It is an arithmetic number, because the mean of its divisors is an integer number (6318369876).

Almost surely, 2^{3882836448000} is an apocalyptic number.

3882836448000 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 3882836448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8188607359296).

3882836448000 is an abundant number, since it is smaller than the sum of its proper divisors (12494378270592).

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

3882836448000 is a wasteful number, since it uses less digits than its factorization.

3882836448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 3882836448000 in words is "three trillion, eight hundred eighty-two billion, eight hundred thirty-six million, four hundred forty-eight thousand".