3368680 has 64 divisors (see below), whose sum is σ = 8864640. Its totient is φ = 1128192.

The previous prime is 3368657. The next prime is 3368707. The reversal of 3368680 is 868633.

3368680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3368680² = 22696009884800, which contains 22 as substring.

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, 14727 + ... + 14953.

It is an arithmetic number, because the mean of its divisors is an integer number (138510).

Almost surely, 2^3368680 is an apocalyptic number.

3368680 is the 1060-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3368680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432320).

3368680 is an abundant number, since it is smaller than the sum of its proper divisors (5495960).

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

3368680 is a wasteful number, since it uses less digits than its factorization.

3368680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3368680 is about 1835.3964149469. The cubic root of 3368680 is about 149.9063118661.

The spelling of 3368680 in words is "three million, three hundred sixty-eight thousand, six hundred eighty".