3085918920 has 192 divisors, whose sum is σ = 11501118720. Its totient is φ = 702945792.

The previous prime is 3085918919. The next prime is 3085918933. The reversal of 3085918920 is 298195803.

It is a happy number.

3085918920 is a `hidden beast` number, since 30 + 8 + 591 + 8 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 796909 + ... + 800771.

It is an arithmetic number, because the mean of its divisors is an integer number (59901660).

Almost surely, 2^3085918920 is an apocalyptic number.

3085918920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3085918920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750559360).

3085918920 is an abundant number, since it is smaller than the sum of its proper divisors (8415199800).

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

3085918920 is a wasteful number, since it uses less digits than its factorization.

3085918920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 3085918920 is about 55551.0478749051. The cubic root of 3085918920 is about 1455.8886837269. Note that the first 3 decimals are identical.

The spelling of 3085918920 in words is "three billion, eighty-five million, nine hundred eighteen thousand, nine hundred twenty".