3085105824 has 36 divisors (see below), whose sum is σ = 8773270506. Its totient is φ = 1028368512.

The previous prime is 3085105819. The next prime is 3085105831. The reversal of 3085105824 is 4285015803.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1987376400 + 1097729424 = 44580^2 + 33132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5355799 + ... + 5356374.

Almost surely, 2^3085105824 is an apocalyptic number.

It is an amenable number.

3085105824 is an abundant number, since it is smaller than the sum of its proper divisors (5688164682).

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

3085105824 is a wasteful number, since it uses less digits than its factorization.

3085105824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10712189 (or 10712178 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 3085105824 is about 55543.7289349572. The cubic root of 3085105824 is about 1455.7608038009.

The spelling of 3085105824 in words is "three billion, eighty-five million, one hundred five thousand, eight hundred twenty-four".