3378944 has 36 divisors (see below), whose sum is σ = 6880104. Its totient is φ = 1655808.

The previous prime is 3378931. The next prime is 3378967. The reversal of 3378944 is 4498733.

It is a super-2 number, since 2×3378944² = 22834525110272, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3378898 and 3378907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17054 + ... + 17250.

It is an arithmetic number, because the mean of its divisors is an integer number (191114).

Almost surely, 2^3378944 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 3378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440052).

3378944 is an abundant number, since it is smaller than the sum of its proper divisors (3501160).

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

3378944 is an equidigital number, since it uses as much as digits as its factorization.

3378944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 3378944 is about 1838.1904145110. The cubic root of 3378944 is about 150.0584068843.

It can be divided in two parts, 33789 and 44, that added together give a palindrome (33833).

The spelling of 3378944 in words is "three million, three hundred seventy-eight thousand, nine hundred forty-four".