3318960 has 40 divisors (see below), whose sum is σ = 10289520. Its totient is φ = 884992.

The previous prime is 3318947. The next prime is 3318983. The reversal of 3318960 is 698133.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3318960² = 22030990963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6675 + ... + 7154.

It is an arithmetic number, because the mean of its divisors is an integer number (257238).

Almost surely, 2^3318960 is an apocalyptic number.

3318960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3318960 is an abundant number, since it is smaller than the sum of its proper divisors (6970560).

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

3318960 is a wasteful number, since it uses less digits than its factorization.

3318960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13845 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3318960 is about 1821.8013063998. The cubic root of 3318960 is about 149.1651397879.

It can be divided in two parts, 3318 and 960, that added together give a triangular number (4278 = T₉₂).

The spelling of 3318960 in words is "three million, three hundred eighteen thousand, nine hundred sixty".