3313128 has 128 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 829440.

The previous prime is 3313117. The next prime is 3313139. The reversal of 3313128 is 8213133.

It is a happy number.

3313128 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 (3313117) and next prime (3313139).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 80788 + ... + 80828.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

Almost surely, 2^3313128 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 3313128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

3313128 is an abundant number, since it is smaller than the sum of its proper divisors (7411992).

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

3313128 is a wasteful number, since it uses less digits than its factorization.

3313128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 3313128 is about 1820.1999890122. The cubic root of 3313128 is about 149.0777187148.

The spelling of 3313128 in words is "three million, three hundred thirteen thousand, one hundred twenty-eight".