3306309 has 16 divisors (see below), whose sum is σ = 4561920. Its totient is φ = 2128880.

The previous prime is 3306293. The next prime is 3306341. The reversal of 3306309 is 9036033.

3306309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3306309 - 2⁴ = 3306293 is a prime.

3306309 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18382 + ... + 18560.

It is an arithmetic number, because the mean of its divisors is an integer number (285120).

Almost surely, 2^3306309 is an apocalyptic number.

It is an amenable number.

3306309 is a deficient number, since it is larger than the sum of its proper divisors (1255611).

3306309 is a wasteful number, since it uses less digits than its factorization.

3306309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 3306309 is about 1818.3258783837. The cubic root of 3306309 is about 148.9753724142.

The spelling of 3306309 in words is "three million, three hundred six thousand, three hundred nine".