3085447680 has 480 divisors, whose sum is σ = 12763111680. Its totient is φ = 704471040.

The previous prime is 3085447643. The next prime is 3085447693. The reversal of 3085447680 is 867445803.

3085447680 is a `hidden beast` number, since 30 + 8 + 544 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386425 + ... + 3387335.

It is an arithmetic number, because the mean of its divisors is an integer number (26589816).

Almost surely, 2^3085447680 is an apocalyptic number.

3085447680 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 3085447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381555840).

3085447680 is an abundant number, since it is smaller than the sum of its proper divisors (9677664000).

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

3085447680 is an equidigital number, since it uses as much as digits as its factorization.

3085447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3085447680 is about 55546.8062088182. The cubic root of 3085447680 is about 1455.8145720467.

The spelling of 3085447680 in words is "three billion, eighty-five million, four hundred forty-seven thousand, six hundred eighty".