3312960 has 224 divisors, whose sum is σ = 13167360. Its totient is φ = 688128.

The previous prime is 3312941. The next prime is 3313003. The reversal of 3312960 is 692133.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3312960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114226 + ... + 114254.

Almost surely, 2^3312960 is an apocalyptic number.

3312960 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 3312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

3312960 is an abundant number, since it is smaller than the sum of its proper divisors (9854400).

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

3312960 is a wasteful number, since it uses less digits than its factorization.

3312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3312960 is about 1820.1538396520. The cubic root of 3312960 is about 149.0751988926.

The spelling of 3312960 in words is "three million, three hundred twelve thousand, nine hundred sixty".