3005680 has 20 divisors (see below), whose sum is σ = 6988392. Its totient is φ = 1202240.

The previous prime is 3005677. The next prime is 3005693. The reversal of 3005680 is 865003.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3005680² = 18068224524800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18706 + ... + 18865.

Almost surely, 2^3005680 is an apocalyptic number.

It is an amenable number.

3005680 is an abundant number, since it is smaller than the sum of its proper divisors (3982712).

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

3005680 is a wasteful number, since it uses less digits than its factorization.

3005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37584 (or 37578 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 3005680 is about 1733.6897069545. The cubic root of 3005680 is about 144.3159216190.

The spelling of 3005680 in words is "three million, five thousand, six hundred eighty".