3313728000 has 480 divisors, whose sum is σ = 13045361472. Its totient is φ = 801792000.

The previous prime is 3313727999. The next prime is 3313728037. The reversal of 3313728000 is 8273133.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6335739 + ... + 6336261.

Almost surely, 2^3313728000 is an apocalyptic number.

3313728000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522680736).

3313728000 is an abundant number, since it is smaller than the sum of its proper divisors (9731633472).

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

3313728000 is a wasteful number, since it uses less digits than its factorization.

3313728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3313728000 is about 57564.9893598531. The cubic root of 3313728000 is about 1490.8671738436.

The spelling of 3313728000 in words is "three billion, three hundred thirteen million, seven hundred twenty-eight thousand".