3360456 has 48 divisors (see below), whose sum is σ = 9930960. Its totient is φ = 1018080.

The previous prime is 3360449. The next prime is 3360457. The reversal of 3360456 is 6540633.

3360456 = 41² + 42² + ... + 216².

3360456 is a `hidden beast` number, since 3 + 3 + 604 + 56 = 666.

It is a super-2 number, since 2×3360456² = 22585329055872, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3360457) 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, 1330 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (206895).

Almost surely, 2^3360456 is an apocalyptic number.

3360456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3360456 is an abundant number, since it is smaller than the sum of its proper divisors (6570504).

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

3360456 is a wasteful number, since it uses less digits than its factorization.

3360456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3360456 is about 1833.1546579599. The cubic root of 3360456 is about 149.7842230843.

The spelling of 3360456 in words is "three million, three hundred sixty thousand, four hundred fifty-six".