3882844200960 has 336 divisors, whose sum is σ = 13958248370976. Its totient is φ = 1035422466048.

The previous prime is 3882844200943. The next prime is 3882844200973. The reversal of 3882844200960 is 690024482883.

3882844200960 is a `hidden beast` number, since 3 + 8 + 82 + 84 + 420 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3882844200897 and 3882844200906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9758227 + ... + 10148333.

It is an arithmetic number, because the mean of its divisors is an integer number (41542405866).

Almost surely, 2^{3882844200960} is an apocalyptic number.

3882844200960 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 3882844200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979124185488).

3882844200960 is an abundant number, since it is smaller than the sum of its proper divisors (10075404170016).

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

3882844200960 is an frugal number, since it uses more digits than its factorization.

3882844200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390153 (or 390117 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

It can be divided in two parts, 3882844 and 200960, that added together give a palindrome (4083804).

The spelling of 3882844200960 in words is "three trillion, eight hundred eighty-two billion, eight hundred forty-four million, two hundred thousand, nine hundred sixty".