3379968 has 90 divisors (see below), whose sum is σ = 10140284. Its totient is φ = 1119744.

The previous prime is 3379963. The next prime is 3379997. The reversal of 3379968 is 8699733.

It is a happy number.

It is a super-2 number, since 2×3379968² = 22848367362048, which contains 22 as substring.

Its product of digits (244944) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (3379963) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20655 + ... + 20817.

Almost surely, 2^3379968 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 3379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070142).

3379968 is an abundant number, since it is smaller than the sum of its proper divisors (6760316).

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

3379968 is an equidigital number, since it uses as much as digits as its factorization.

3379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3379968 is about 1838.4689282117. The cubic root of 3379968 is about 150.0735639164.

The spelling of 3379968 in words is "three million, three hundred seventy-nine thousand, nine hundred sixty-eight".