3306000 has 160 divisors (see below), whose sum is σ = 11606400. Its totient is φ = 806400.

The previous prime is 3305999. The next prime is 3306001. The reversal of 3306000 is 6033.

It is an interprime number because it is at equal distance from previous prime (3305999) and next prime (3306001).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 113986 + ... + 114014.

It is an arithmetic number, because the mean of its divisors is an integer number (72540).

Almost surely, 2^3306000 is an apocalyptic number.

3306000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200).

3306000 is an abundant number, since it is smaller than the sum of its proper divisors (8300400).

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

3306000 is a wasteful number, since it uses less digits than its factorization.

3306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

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

The square root of 3306000 is about 1818.2409081307. The cubic root of 3306000 is about 148.9707313049.

The spelling of 3306000 in words is "three million, three hundred six thousand".