3084800 has 60 divisors (see below), whose sum is σ = 7674546. Its totient is φ = 1228800.

The previous prime is 3084797. The next prime is 3084833. The reversal of 3084800 is 84803.

It can be written as a sum of positive squares in 3 ways, for example, as 2611456 + 473344 = 1616^2 + 688^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 12680 + ... + 12920.

Almost surely, 2^3084800 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 3084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837273).

3084800 is an abundant number, since it is smaller than the sum of its proper divisors (4589746).

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

3084800 is an equidigital number, since it uses as much as digits as its factorization.

3084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3084800 is about 1756.3598720080. The cubic root of 3084800 is about 145.5712699421.

The spelling of 3084800 in words is "three million, eighty-four thousand, eight hundred".