3321336960 has 320 divisors, whose sum is σ = 12026044800. Its totient is φ = 873400320.

The previous prime is 3321336947. The next prime is 3321336983. The reversal of 3321336960 is 696331233.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3321336960² = 22062558403724083200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4094955 + ... + 4095765.

It is an arithmetic number, because the mean of its divisors is an integer number (37581390).

Almost surely, 2^3321336960 is an apocalyptic number.

3321336960 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 3321336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013022400).

3321336960 is an abundant number, since it is smaller than the sum of its proper divisors (8704707840).

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

3321336960 is an equidigital number, since it uses as much as digits as its factorization.

3321336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 3321336960 is about 57631.0416355630. The cubic root of 3321336960 is about 1492.0074079563.

The spelling of 3321336960 in words is "three billion, three hundred twenty-one million, three hundred thirty-six thousand, nine hundred sixty".