3360960 has 112 divisors (see below), whose sum is σ = 11887200. Its totient is φ = 893952.

The previous prime is 3360947. The next prime is 3360983. The reversal of 3360960 is 690633.

It is a super-2 number, since 2×3360960² = 22592104243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8446 + ... + 8834.

Almost surely, 2^3360960 is an apocalyptic number.

3360960 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 3360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943600).

3360960 is an abundant number, since it is smaller than the sum of its proper divisors (8526240).

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

3360960 is a wasteful number, since it uses less digits than its factorization.

3360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3360960 is about 1833.2921207489. The cubic root of 3360960 is about 149.7917109049.

The spelling of 3360960 in words is "three million, three hundred sixty thousand, nine hundred sixty".