3328080 has 120 divisors (see below), whose sum is σ = 12043872. Its totient is φ = 758016.

The previous prime is 3328063. The next prime is 3328111. The reversal of 3328080 is 808233.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3328080² = 22152232972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3328080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11619 + ... + 11901.

Almost surely, 2^3328080 is an apocalyptic number.

3328080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021936).

3328080 is an abundant number, since it is smaller than the sum of its proper divisors (8715792).

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

3328080 is a wasteful number, since it uses less digits than its factorization.

3328080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3328080 is about 1824.3026064773. The cubic root of 3328080 is about 149.3016425808.

The spelling of 3328080 in words is "three million, three hundred twenty-eight thousand, eighty".