3300199728 has 80 divisors (see below), whose sum is σ = 9759851520. Its totient is φ = 941326848.

The previous prime is 3300199709. The next prime is 3300199759. The reversal of 3300199728 is 8279910033.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3300199728.

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 15 ways as a sum of consecutive naturals, for example, 199353 + ... + 215271.

It is an arithmetic number, because the mean of its divisors is an integer number (121998144).

Almost surely, 2^3300199728 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 3300199728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879925760).

3300199728 is an abundant number, since it is smaller than the sum of its proper divisors (6459651792).

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

3300199728 is a wasteful number, since it uses less digits than its factorization.

3300199728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16554 (or 16548 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3300199728 is about 57447.3648481808. The cubic root of 3300199728 is about 1488.8355883232.

The spelling of 3300199728 in words is "three billion, three hundred million, one hundred ninety-nine thousand, seven hundred twenty-eight".