3406200 has 96 divisors (see below), whose sum is σ = 12082560. Its totient is φ = 777600.

The previous prime is 3406189. The next prime is 3406217. The reversal of 3406200 is 26043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3406200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3795 + ... + 4605.

It is an arithmetic number, because the mean of its divisors is an integer number (125860).

Almost surely, 2^3406200 is an apocalyptic number.

3406200 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 3406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041280).

3406200 is an abundant number, since it is smaller than the sum of its proper divisors (8676360).

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

3406200 is a wasteful number, since it uses less digits than its factorization.

3406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3406200 is about 1845.5893367702. The cubic root of 3406200 is about 150.4608051633.

The spelling of 3406200 in words is "three million, four hundred six thousand, two hundred".