3882383301888 has 1008 divisors, whose sum is σ = 14795408315520. Its totient is φ = 988492087296.

The previous prime is 3882383301857. The next prime is 3882383301911. The reversal of 3882383301888 is 8881033832883.

3882383301888 is a `hidden beast` number, since 388 + 238 + 3 + 3 + 0 + 18 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 492496795 + ... + 492504677.

It is an arithmetic number, because the mean of its divisors is an integer number (14677984440).

Almost surely, 2^{3882383301888} 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 3882383301888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397704157760).

3882383301888 is an abundant number, since it is smaller than the sum of its proper divisors (10913025013632).

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

3882383301888 is an equidigital number, since it uses as much as digits as its factorization.

3882383301888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7966 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 3882383301888 in words is "three trillion, eight hundred eighty-two billion, three hundred eighty-three million, three hundred one thousand, eight hundred eighty-eight".