3418100 has 72 divisors (see below), whose sum is σ = 8957760. Its totient is φ = 1105920.

The previous prime is 3418087. The next prime is 3418109. The reversal of 3418100 is 18143.

It is a happy number.

3418100 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3418100² = 23366815220000, which contains 22 as substring.

3418100 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3418109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13172 + ... + 13428.

Almost surely, 2^3418100 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 3418100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478880).

3418100 is an abundant number, since it is smaller than the sum of its proper divisors (5539660).

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

3418100 is a wasteful number, since it uses less digits than its factorization.

3418100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 3418100 is about 1848.8104283566. The cubic root of 3418100 is about 150.6358196001.

The spelling of 3418100 in words is "three million, four hundred eighteen thousand, one hundred".