3418680 has 64 divisors (see below), whose sum is σ = 10598400. Its totient is φ = 881280.

The previous prime is 3418669. The next prime is 3418693. The reversal of 3418680 is 868143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 3261 + ... + 4179.

It is an arithmetic number, because the mean of its divisors is an integer number (165600).

Almost surely, 2^3418680 is an apocalyptic number.

3418680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3418680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299200).

3418680 is an abundant number, since it is smaller than the sum of its proper divisors (7179720).

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

3418680 is a wasteful number, since it uses less digits than its factorization.

3418680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3418680 is about 1848.9672793211. The cubic root of 3418680 is about 150.6443393268.

The spelling of 3418680 in words is "three million, four hundred eighteen thousand, six hundred eighty".