3406680 has 48 divisors (see below), whose sum is σ = 11072880. Its totient is φ = 908352.

The previous prime is 3406679. The next prime is 3406687. The reversal of 3406680 is 866043.

3406680 = 87² + 88² + ... + 221².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406687) 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, 4372 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (230685).

Almost surely, 2^3406680 is an apocalyptic number.

3406680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3406680 is an abundant number, since it is smaller than the sum of its proper divisors (7666200).

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

3406680 is a wasteful number, since it uses less digits than its factorization.

3406680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3406680 is about 1845.7193719523. The cubic root of 3406680 is about 150.4678724518.

The spelling of 3406680 in words is "three million, four hundred six thousand, six hundred eighty".