3306 has 16 divisors (see below), whose sum is σ = 7200. Its totient is φ = 1008.

The previous prime is 3301. The next prime is 3307. The reversal of 3306 is 6033.

3306 = 3² + 4² + ... + 21².

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3291 and 3300.

It is not an unprimeable number, because it can be changed into a prime (3301) by changing a digit.

3306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (450).

2³³⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 57×58.

3306 is an abundant number, since it is smaller than the sum of its proper divisors (3894).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600).

3306 is a wasteful number, since it uses less digits than its factorization.

3306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3306 is about 57.4978260459. The cubic root of 3306 is about 14.8970731305.

Adding to 3306 its reverse (6033), we get a palindrome (9339).

The spelling of 3306 in words is "three thousand, three hundred six".