3382080 has 112 divisors (see below), whose sum is σ = 11606784. Its totient is φ = 829440.

The previous prime is 3382063. The next prime is 3382103. The reversal of 3382080 is 802833.

It is a super-2 number, since 2×3382080² = 22876930252800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 3382080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12345 + ... + 12615.

It is an arithmetic number, because the mean of its divisors is an integer number (103632).

Almost surely, 2^3382080 is an apocalyptic number.

3382080 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 3382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803392).

3382080 is an abundant number, since it is smaller than the sum of its proper divisors (8224704).

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

3382080 is a wasteful number, since it uses less digits than its factorization.

3382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

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

The square root of 3382080 is about 1839.0432295082. The cubic root of 3382080 is about 150.1048156297.

The spelling of 3382080 in words is "three million, three hundred eighty-two thousand, eighty".