3305728 has 36 divisors (see below), whose sum is σ = 6796300. Its totient is φ = 1603584.

The previous prime is 3305719. The next prime is 3305749. The reversal of 3305728 is 8275033.

3305728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2715904 + 589824 = 1648^2 + 768^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3305696 and 3305705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9298 + ... + 9646.

Almost surely, 2^3305728 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 3305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398150).

3305728 is an abundant number, since it is smaller than the sum of its proper divisors (3490572).

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

3305728 is an equidigital number, since it uses as much as digits as its factorization.

3305728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 3305728 is about 1818.1661090230. The cubic root of 3305728 is about 148.9666456878.

The spelling of 3305728 in words is "three million, three hundred five thousand, seven hundred twenty-eight".