3006680 has 16 divisors (see below), whose sum is σ = 6765120. Its totient is φ = 1202656.

The previous prime is 3006677. The next prime is 3006701. The reversal of 3006680 is 866003.

3006680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37544 + ... + 37623.

It is an arithmetic number, because the mean of its divisors is an integer number (422820).

Almost surely, 2^3006680 is an apocalyptic number.

It is an amenable number.

3006680 is an abundant number, since it is smaller than the sum of its proper divisors (3758440).

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

3006680 is a wasteful number, since it uses less digits than its factorization.

3006680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75178 (or 75174 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3006680 is about 1733.9780852133. The cubic root of 3006680 is about 144.3319246443.

The spelling of 3006680 in words is "three million, six thousand, six hundred eighty".