3084528200 has 96 divisors (see below), whose sum is σ = 7751457000. Its totient is φ = 1134735360.

The previous prime is 3084528193. The next prime is 3084528221. The reversal of 3084528200 is 28254803.

3084528200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 117983044 + 2966545156 = 10862^2 + 54466^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759776 + ... + 763824.

Almost surely, 2^3084528200 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 3084528200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875728500).

3084528200 is an abundant number, since it is smaller than the sum of its proper divisors (4666928800).

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

3084528200 is a wasteful number, since it uses less digits than its factorization.

3084528200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 3084528200 is about 55538.5289686358. The cubic root of 3084528200 is about 1455.6699441555.

The spelling of 3084528200 in words is "three billion, eighty-four million, five hundred twenty-eight thousand, two hundred".