3018960 has 120 divisors (see below), whose sum is σ = 11606400. Its totient is φ = 688896.

The previous prime is 3018949. The next prime is 3018989. The reversal of 3018960 is 698103.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3018960² = 18228238963200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4741 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 2^3018960 is an apocalyptic number.

3018960 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 3018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200).

3018960 is an abundant number, since it is smaller than the sum of its proper divisors (8587440).

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

3018960 is a wasteful number, since it uses less digits than its factorization.

3018960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3018960 is about 1737.5154675571. The cubic root of 3018960 is about 144.5281531014.

It can be divided in two parts, 301 and 8960, that added together give a cube (9261 = 21³).

The spelling of 3018960 in words is "three million, eighteen thousand, nine hundred sixty".