3312828 has 36 divisors (see below), whose sum is σ = 8740368. Its totient is φ = 1056000.

The previous prime is 3312823. The next prime is 3312833. The reversal of 3312828 is 8282133.

3312828 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 (3312823) and next prime (3312833).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312823) 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 11 ways as a sum of consecutive naturals, for example, 1173 + ... + 2828.

It is an arithmetic number, because the mean of its divisors is an integer number (242788).

Almost surely, 2^3312828 is an apocalyptic number.

It is an amenable number.

3312828 is an abundant number, since it is smaller than the sum of its proper divisors (5427540).

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

3312828 is a wasteful number, since it uses less digits than its factorization.

3312828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4029 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3312828 is about 1820.1175786196. The cubic root of 3312828 is about 149.0732189726.

It can be divided in two parts, 3312 and 828, that multiplied together give a square (2742336 = 1656²).

The spelling of 3312828 in words is "three million, three hundred twelve thousand, eight hundred twenty-eight".