3283080 has 64 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 864000.

The previous prime is 3283079. The next prime is 3283087. The reversal of 3283080 is 803823.

It is a super-2 number, since 2×3283080² = 21557228572800, 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 3283080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12955 + ... + 13205.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 2^3283080 is an apocalyptic number.

3283080 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 3283080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

3283080 is an abundant number, since it is smaller than the sum of its proper divisors (6696120).

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

3283080 is a wasteful number, since it uses less digits than its factorization.

3283080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

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

The square root of 3283080 is about 1811.9271508535. The cubic root of 3283080 is about 148.6256687699.

The spelling of 3283080 in words is "three million, two hundred eighty-three thousand, eighty".