3312480 has 96 divisors (see below), whose sum is σ = 10692864. Its totient is φ = 861696.

The previous prime is 3312457. The next prime is 3312503. The reversal of 3312480 is 842133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3312457) and next prime (3312503).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32109 + ... + 32211.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

Almost surely, 2^3312480 is an apocalyptic number.

3312480 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 3312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432).

3312480 is an abundant number, since it is smaller than the sum of its proper divisors (7380384).

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

3312480 is a wasteful number, since it uses less digits than its factorization.

3312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3312480 is about 1820.0219778893. The cubic root of 3312480 is about 149.0679989313.

The spelling of 3312480 in words is "three million, three hundred twelve thousand, four hundred eighty".