3085368000 has 896 divisors, whose sum is σ = 12781117440. Its totient is φ = 645120000.

The previous prime is 3085367891. The next prime is 3085368001. The reversal of 3085368000 is 8635803.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3085368001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 99527985 + ... + 99528015.

It is an arithmetic number, because the mean of its divisors is an integer number (14264640).

Almost surely, 2^3085368000 is an apocalyptic number.

3085368000 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 3085368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

3085368000 is an abundant number, since it is smaller than the sum of its proper divisors (9695749440).

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

3085368000 is a wasteful number, since it uses less digits than its factorization.

3085368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3085368000 is about 55546.0889712318. The cubic root of 3085368000 is about 1455.8020400669.

The spelling of 3085368000 in words is "three billion, eighty-five million, three hundred sixty-eight thousand".