3418000 has 40 divisors (see below), whose sum is σ = 8269560. Its totient is φ = 1366400.

The previous prime is 3417977. The next prime is 3418001. The reversal of 3418000 is 8143.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 2944656 = 688^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3418001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146 + ... + 2854.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

Almost surely, 2^3418000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134780).

3418000 is an abundant number, since it is smaller than the sum of its proper divisors (4851560).

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

3418000 is a wasteful number, since it uses less digits than its factorization.

3418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3418000 is about 1848.7833837419. The cubic root of 3418000 is about 150.6343505843.

The spelling of 3418000 in words is "three million, four hundred eighteen thousand".