3378320 has 60 divisors (see below), whose sum is σ = 8658300. Its totient is φ = 1224960.

The previous prime is 3378317. The next prime is 3378329. The reversal of 3378320 is 238733.

It can be written as a sum of positive squares in 2 ways, for example, as 1860496 + 1517824 = 1364^2 + 1232^2 .

It is a super-2 number, since 2×3378320² = 22826092044800, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3378320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378329) 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, 9506 + ... + 9854.

It is an arithmetic number, because the mean of its divisors is an integer number (144305).

Almost surely, 2^3378320 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 3378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329150).

3378320 is an abundant number, since it is smaller than the sum of its proper divisors (5279980).

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

3378320 is a wasteful number, since it uses less digits than its factorization.

3378320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3378320 is about 1838.0206745301. The cubic root of 3378320 is about 150.0491690661.

The spelling of 3378320 in words is "three million, three hundred seventy-eight thousand, three hundred twenty".