3353328 has 120 divisors (see below), whose sum is σ = 10735920. Its totient is φ = 967680.

The previous prime is 3353323. The next prime is 3353333. The reversal of 3353328 is 8233533.

It is a happy number.

3353328 is a `hidden beast` number, since 335 + 3 + 328 = 666.

3353328 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 (3353323) and next prime (3353333).

It is a super-2 number, since 2×3353328² = 22489617351168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353321) 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 23 ways as a sum of consecutive naturals, for example, 45900 + ... + 45972.

It is an arithmetic number, because the mean of its divisors is an integer number (89466).

Almost surely, 2^3353328 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 3353328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367960).

3353328 is an abundant number, since it is smaller than the sum of its proper divisors (7382592).

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

3353328 is a wasteful number, since it uses less digits than its factorization.

3353328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 3353328 is about 1831.2094364108. The cubic root of 3353328 is about 149.6782436458.

It can be divided in two parts, 335 and 3328, that added together give a palindrome (3663).

The spelling of 3353328 in words is "three million, three hundred fifty-three thousand, three hundred twenty-eight".