3381808128 has 132 divisors (see below), whose sum is σ = 9427221048. Its totient is φ = 1077739520.

The previous prime is 3381808069. The next prime is 3381808201. The reversal of 3381808128 is 8218081833.

It is a happy number.

It is a super-2 number, since 2×3381808128² = 22873252429213728768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3381808128.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1624048 + ... + 1626128.

Almost surely, 2^3381808128 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 3381808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713610524).

3381808128 is an abundant number, since it is smaller than the sum of its proper divisors (6045412920).

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

3381808128 is a wasteful number, since it uses less digits than its factorization.

3381808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 3381808128 is about 58153.3157094245. The cubic root of 3381808128 is about 1501.0079341164.

The spelling of 3381808128 in words is "three billion, three hundred eighty-one million, eight hundred eight thousand, one hundred twenty-eight".