3300264 has 80 divisors (see below), whose sum is σ = 10105920. Its totient is φ = 997920.

The previous prime is 3300263. The next prime is 3300301. The reversal of 3300264 is 4620033.

3300264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3300263) 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 19 ways as a sum of consecutive naturals, for example, 6897 + ... + 7359.

It is an arithmetic number, because the mean of its divisors is an integer number (126324).

Almost surely, 2^3300264 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 3300264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052960).

3300264 is an abundant number, since it is smaller than the sum of its proper divisors (6805656).

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

3300264 is a wasteful number, since it uses less digits than its factorization.

3300264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3300264 is about 1816.6628746138. The cubic root of 3300264 is about 148.8845253377.

Adding to 3300264 its reverse (4620033), we get a palindrome (7920297).

The spelling of 3300264 in words is "three million, three hundred thousand, two hundred sixty-four".