3382188576 has 48 divisors (see below), whose sum is σ = 9561190464. Its totient is φ = 1040673024.

The previous prime is 3382188553. The next prime is 3382188581. The reversal of 3382188576 is 6758812833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3382188576² = 22878399127249815552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1353796 + ... + 1356291.

It is an arithmetic number, because the mean of its divisors is an integer number (199191468).

Almost surely, 2^3382188576 is an apocalyptic number.

It is an amenable number.

3382188576 is an abundant number, since it is smaller than the sum of its proper divisors (6179001888).

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

3382188576 is a wasteful number, since it uses less digits than its factorization.

3382188576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710113 (or 2710105 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 3382188576 is about 58156.5866948878. The cubic root of 3382188576 is about 1501.0642190023.

The spelling of 3382188576 in words is "three billion, three hundred eighty-two million, one hundred eighty-eight thousand, five hundred seventy-six".