3313984 has 28 divisors (see below), whose sum is σ = 6707124. Its totient is φ = 1624064.

The previous prime is 3313969. The next prime is 3313987. The reversal of 3313984 is 4893133.

It can be written as a sum of positive squares in 2 ways, for example, as 2795584 + 518400 = 1672^2 + 720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2904 + ... + 3880.

Almost surely, 2^3313984 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 3313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353562).

3313984 is an abundant number, since it is smaller than the sum of its proper divisors (3393140).

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

3313984 is an equidigital number, since it uses as much as digits as its factorization.

3313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1032 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 3313984 is about 1820.4351128233. The cubic root of 3313984 is about 149.0905564861.

The spelling of 3313984 in words is "three million, three hundred thirteen thousand, nine hundred eighty-four".