3406806 has 64 divisors (see below), whose sum is σ = 8547840. Its totient is φ = 997920.

The previous prime is 3406801. The next prime is 3406811. The reversal of 3406806 is 6086043.

It is an interprime number because it is at equal distance from previous prime (3406801) and next prime (3406811).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3406806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16041 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (133560).

Almost surely, 2^3406806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273920).

3406806 is an abundant number, since it is smaller than the sum of its proper divisors (5141034).

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

3406806 is a wasteful number, since it uses less digits than its factorization.

3406806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3406806 is about 1845.7535046696. The cubic root of 3406806 is about 150.4697275050.

The spelling of 3406806 in words is "three million, four hundred six thousand, eight hundred six".