3364768 has 48 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 1510080.

The previous prime is 3364763. The next prime is 3364787. The reversal of 3364768 is 8674633.

It is a happy number.

3364768 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 2×3364768² = 22643327387648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3364763) 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 7 ways as a sum of consecutive naturals, for example, 42553 + ... + 42631.

It is an arithmetic number, because the mean of its divisors is an integer number (153720).

Almost surely, 2^3364768 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 3364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689280).

3364768 is an abundant number, since it is smaller than the sum of its proper divisors (4013792).

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

3364768 is an equidigital number, since it uses as much as digits as its factorization.

3364768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 3364768 is about 1834.3303955395. The cubic root of 3364768 is about 149.8482613692.

The spelling of 3364768 in words is "three million, three hundred sixty-four thousand, seven hundred sixty-eight".