3308000 has 48 divisors (see below), whose sum is σ = 8137584. Its totient is φ = 1321600.

The previous prime is 3307973. The next prime is 3308027. The reversal of 3308000 is 8033.

It is a happy number.

3308000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3307973) and next prime (3308027).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3587 + ... + 4413.

It is an arithmetic number, because the mean of its divisors is an integer number (169533).

Almost surely, 2^3308000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068792).

3308000 is an abundant number, since it is smaller than the sum of its proper divisors (4829584).

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

3308000 is an equidigital number, since it uses as much as digits as its factorization.

3308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3308000 is about 1818.7908071023. The cubic root of 3308000 is about 149.0007657273. Note that the first 3 decimals are identical.

The spelling of 3308000 in words is "three million, three hundred eight thousand".