3306006 has 48 divisors (see below), whose sum is σ = 7974720. Its totient is φ = 981360.

The previous prime is 3306001. The next prime is 3306011. The reversal of 3306006 is 6006033.

It is an interprime number because it is at equal distance from previous prime (3306001) and next prime (3306011).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 3306006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11541 + ... + 11823.

It is an arithmetic number, because the mean of its divisors is an integer number (166140).

Almost surely, 2^3306006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987360).

3306006 is an abundant number, since it is smaller than the sum of its proper divisors (4668714).

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

3306006 is a wasteful number, since it uses less digits than its factorization.

3306006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3306006 is about 1818.2425580763. The cubic root of 3306006 is about 148.9708214263.

It can be divided in two parts, 330 and 6006, that added together give a palindrome (6336).

The spelling of 3306006 in words is "three million, three hundred six thousand, six".