3324960 has 72 divisors (see below), whose sum is σ = 11351340. Its totient is φ = 886272.

The previous prime is 3324947. The next prime is 3324961. The reversal of 3324960 is 694233.

It can be written as a sum of positive squares in 2 ways, for example, as 3283344 + 41616 = 1812^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3324960² = 22110718003200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3324961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286 + ... + 2594.

Almost surely, 2^3324960 is an apocalyptic number.

3324960 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 3324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675670).

3324960 is an abundant number, since it is smaller than the sum of its proper divisors (8026380).

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

3324960 is a wasteful number, since it uses less digits than its factorization.

3324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3324960 is about 1823.4472846781. The cubic root of 3324960 is about 149.2549723519.

The spelling of 3324960 in words is "three million, three hundred twenty-four thousand, nine hundred sixty".