3338984208 has 80 divisors (see below), whose sum is σ = 10175983616. Its totient is φ = 923218560.

The previous prime is 3338984203. The next prime is 3338984213. The reversal of 3338984208 is 8024898333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3338984203) and next prime (3338984213).

It is a super-2 number, since 2×3338984208² = 22297631082546774528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3338984203) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149866 + ... + 170697.

Almost surely, 2^3338984208 is an apocalyptic number.

It is an amenable number.

3338984208 is an abundant number, since it is smaller than the sum of its proper divisors (6836999408).

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

3338984208 is a wasteful number, since it uses less digits than its factorization.

3338984208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320612 (or 320606 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 3338984208 is about 57783.9442059816. The cubic root of 3338984208 is about 1494.6452341798.

The spelling of 3338984208 in words is "three billion, three hundred thirty-eight million, nine hundred eighty-four thousand, two hundred eight".