3338828800 has 66 divisors (see below), whose sum is σ = 8276315768. Its totient is φ = 1335521280.

The previous prime is 3338828771. The next prime is 3338828837. The reversal of 3338828800 is 88288333.

It is a super-2 number, since 2×3338828800² = 22295555511418880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 39612 + ... + 90811.

Almost surely, 2^3338828800 is an apocalyptic number.

It is an amenable number.

3338828800 is an abundant number, since it is smaller than the sum of its proper divisors (4937486968).

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

3338828800 is a wasteful number, since it uses less digits than its factorization.

3338828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130453 (or 130430 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 3338828800 is about 57782.5994569299. The cubic root of 3338828800 is about 1494.6220451482.

The spelling of 3338828800 in words is "three billion, three hundred thirty-eight million, eight hundred twenty-eight thousand, eight hundred".