3084584856 has 96 divisors (see below), whose sum is σ = 8243907840. Its totient is φ = 961556992.

The previous prime is 3084584831. The next prime is 3084584861. The reversal of 3084584856 is 6584854803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3084584799 and 3084584808.

It is a congruent number.

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, 1156981 + ... + 1159643.

It is an arithmetic number, because the mean of its divisors is an integer number (85874040).

Almost surely, 2^3084584856 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 3084584856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121953920).

3084584856 is an abundant number, since it is smaller than the sum of its proper divisors (5159322984).

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

3084584856 is a wasteful number, since it uses less digits than its factorization.

3084584856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The square root of 3084584856 is about 55539.0390266162. The cubic root of 3084584856 is about 1455.6788565862.

The spelling of 3084584856 in words is "three billion, eighty-four million, five hundred eighty-four thousand, eight hundred fifty-six".