3084320 has 48 divisors (see below), whose sum is σ = 7498008. Its totient is φ = 1198080.

The previous prime is 3084317. The next prime is 3084329. The reversal of 3084320 is 234803.

It can be written as a sum of positive squares in 4 ways, for example, as 2729104 + 355216 = 1652^2 + 596^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3084292 and 3084301.

It is not an unprimeable number, because it can be changed into a prime (3084329) 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 7 ways as a sum of consecutive naturals, for example, 5660 + ... + 6180.

Almost surely, 2^3084320 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 3084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749004).

3084320 is an abundant number, since it is smaller than the sum of its proper divisors (4413688).

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

3084320 is a wasteful number, since it uses less digits than its factorization.

3084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3084320 is about 1756.2232204364. The cubic root of 3084320 is about 145.5637191734.

The spelling of 3084320 in words is "three million, eighty-four thousand, three hundred twenty".