3312912960 has 840 divisors, whose sum is σ = 14649053760. Its totient is φ = 694241280.

The previous prime is 3312912959. The next prime is 3312912997. The reversal of 3312912960 is 692192133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

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

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 119 ways as a sum of consecutive naturals, for example, 106868145 + ... + 106868175.

Almost surely, 2^3312912960 is an apocalyptic number.

3312912960 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 3312912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324526880).

3312912960 is an abundant number, since it is smaller than the sum of its proper divisors (11336140800).

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

3312912960 is a wasteful number, since it uses less digits than its factorization.

3312912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3312912960 is about 57557.9096215281. The cubic root of 3312912960 is about 1490.7449332717.

The spelling of 3312912960 in words is "three billion, three hundred twelve million, nine hundred twelve thousand, nine hundred sixty".