3383288128 has 112 divisors (see below), whose sum is σ = 7490764800. Its totient is φ = 1503290880.

The previous prime is 3383288119. The next prime is 3383288141. The reversal of 3383288128 is 8218823833.

It is a super-2 number, since 2×3383288128² = 22893277114131488768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7062993 + ... + 7063471.

Almost surely, 2^3383288128 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 3383288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745382400).

3383288128 is an abundant number, since it is smaller than the sum of its proper divisors (4107476672).

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

3383288128 is a wasteful number, since it uses less digits than its factorization.

3383288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 698 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 3383288128 is about 58166.0393012968. The cubic root of 3383288128 is about 1501.2268670727.

The spelling of 3383288128 in words is "three billion, three hundred eighty-three million, two hundred eighty-eight thousand, one hundred twenty-eight".