3109968 has 80 divisors (see below), whose sum is σ = 9344640. Its totient is φ = 988416.

The previous prime is 3109937. The next prime is 3109969. The reversal of 3109968 is 8699013.

3109968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3109968² = 19343801922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3109969) 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 15 ways as a sum of consecutive naturals, for example, 9780 + ... + 10092.

It is an arithmetic number, because the mean of its divisors is an integer number (116808).

Almost surely, 2^3109968 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 3109968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672320).

3109968 is an abundant number, since it is smaller than the sum of its proper divisors (6234672).

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

3109968 is a wasteful number, since it uses less digits than its factorization.

3109968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3109968 is about 1763.5101360639. The cubic root of 3109968 is about 145.9660895786.

The spelling of 3109968 in words is "three million, one hundred nine thousand, nine hundred sixty-eight".