3313968 has 60 divisors (see below), whose sum is σ = 9965880. Its totient is φ = 946176.

The previous prime is 3313957. The next prime is 3313969. The reversal of 3313968 is 8693133.

It is not an unprimeable number, because it can be changed into a prime (3313969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1648 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (166098).

Almost surely, 2^3313968 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 3313968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982940).

3313968 is an abundant number, since it is smaller than the sum of its proper divisors (6651912).

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

3313968 is a wasteful number, since it uses less digits than its factorization.

3313968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1421 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 3313968 is about 1820.4307182642. The cubic root of 3313968 is about 149.0903165480.

The spelling of 3313968 in words is "three million, three hundred thirteen thousand, nine hundred sixty-eight".