3084608000 has 80 divisors (see below), whose sum is σ = 7691822424. Its totient is φ = 1233817600.

The previous prime is 3084607963. The next prime is 3084608017. The reversal of 3084608000 is 8064803.

It can be written as a sum of positive squares in 4 ways, for example, as 1402951936 + 1681656064 = 37456^2 + 41008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39902 + ... + 88098.

Almost surely, 2^3084608000 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 3084608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845911212).

3084608000 is an abundant number, since it is smaller than the sum of its proper divisors (4607214424).

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

3084608000 is an frugal number, since it uses more digits than its factorization.

3084608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48230 (or 48204 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3084608000 is about 55539.2473841697. The cubic root of 3084608000 is about 1455.6824972865.

The spelling of 3084608000 in words is "three billion, eighty-four million, six hundred eight thousand".