3366306 has 64 divisors (see below), whose sum is σ = 8380800. Its totient is φ = 995328.

The previous prime is 3366299. The next prime is 3366317. The reversal of 3366306 is 6036633.

It is a super-2 number, since 2×3366306² = 22664032171272, which contains 22 as substring.

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 3366306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17346 + ... + 17538.

It is an arithmetic number, because the mean of its divisors is an integer number (130950).

Almost surely, 2^3366306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190400).

3366306 is an abundant number, since it is smaller than the sum of its proper divisors (5014494).

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

3366306 is a wasteful number, since it uses less digits than its factorization.

3366306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3366306 is about 1834.7495741926. The cubic root of 3366306 is about 149.8710892452.

The spelling of 3366306 in words is "three million, three hundred sixty-six thousand, three hundred six".