3378080 has 48 divisors (see below), whose sum is σ = 8182944. Its totient is φ = 1317120.

The previous prime is 3378071. The next prime is 3378083. The reversal of 3378080 is 808733.

It is a super-2 number, since 2×3378080² = 22822848972800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3378083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6635 + ... + 7125.

It is an arithmetic number, because the mean of its divisors is an integer number (170478).

Almost surely, 2^3378080 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 3378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091472).

3378080 is an abundant number, since it is smaller than the sum of its proper divisors (4804864).

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

3378080 is a wasteful number, since it uses less digits than its factorization.

3378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3378080 is about 1837.9553857480. The cubic root of 3378080 is about 150.0456157562.

The spelling of 3378080 in words is "three million, three hundred seventy-eight thousand, eighty".