3085128000 has 588 divisors, whose sum is σ = 11974947348. Its totient is φ = 786931200.

The previous prime is 3085127959. The next prime is 3085128019. The reversal of 3085128000 is 8215803.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 2986403904 = 9936^2 + 54648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 134135989 + ... + 134136011.

Almost surely, 2^3085128000 is an apocalyptic number.

3085128000 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 3085128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987473674).

3085128000 is an abundant number, since it is smaller than the sum of its proper divisors (8889819348).

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

3085128000 is an frugal number, since it uses more digits than its factorization.

3085128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3085128000 is about 55543.9285610948. The cubic root of 3085128000 is about 1455.7642918362.

The spelling of 3085128000 in words is "three billion, eighty-five million, one hundred twenty-eight thousand".