3306864960 has 672 divisors, whose sum is σ = 13884981120. Its totient is φ = 738533376.

The previous prime is 3306864959. The next prime is 3306864971. The reversal of 3306864960 is 694686033.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 30905227 + ... + 30905333.

Almost surely, 2^3306864960 is an apocalyptic number.

3306864960 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 3306864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942490560).

3306864960 is an abundant number, since it is smaller than the sum of its proper divisors (10578116160).

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

3306864960 is a wasteful number, since it uses less digits than its factorization.

3306864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3306864960 is about 57505.3472296273. The cubic root of 3306864960 is about 1489.8372207802.

The spelling of 3306864960 in words is "three billion, three hundred six million, eight hundred sixty-four thousand, nine hundred sixty".