3085830972 has 192 divisors, whose sum is σ = 9638952960. Its totient is φ = 834660288.

The previous prime is 3085830947. The next prime is 3085830989. The reversal of 3085830972 is 2790385803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1790103 + ... + 1791825.

It is an arithmetic number, because the mean of its divisors is an integer number (50202880).

Almost surely, 2^3085830972 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 3085830972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819476480).

3085830972 is an abundant number, since it is smaller than the sum of its proper divisors (6553121988).

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

3085830972 is a wasteful number, since it uses less digits than its factorization.

3085830972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3085830972 is about 55550.2562730362. The cubic root of 3085830972 is about 1455.8748527614.

The spelling of 3085830972 in words is "three billion, eighty-five million, eight hundred thirty thousand, nine hundred seventy-two".