3382413952 has 32 divisors (see below), whose sum is σ = 6741844020. Its totient is φ = 1690343424.

The previous prime is 3382413929. The next prime is 3382413967. The reversal of 3382413952 is 2593142833.

It can be written as a sum of positive squares in 2 ways, for example, as 3129731136 + 252682816 = 55944^2 + 15896^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3382413952² = 22881448285368516608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298698 + ... + 309814.

Almost surely, 2^3382413952 is an apocalyptic number.

3382413952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3382413952 is a deficient number, since it is larger than the sum of its proper divisors (3359430068).

3382413952 is a wasteful number, since it uses less digits than its factorization.

3382413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13496 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 3382413952 is about 58158.5243279091. The cubic root of 3382413952 is about 1501.0975599715.

The spelling of 3382413952 in words is "three billion, three hundred eighty-two million, four hundred thirteen thousand, nine hundred fifty-two".