3085600 has 144 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 967680.

The previous prime is 3085591. The next prime is 3085601. The reversal of 3085600 is 65803.

It is a super-3 number, since 3×3085600³ = 88133320386048000000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3085601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106386 + ... + 106414.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

Almost surely, 2^3085600 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 3085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

3085600 is an abundant number, since it is smaller than the sum of its proper divisors (6288800).

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

3085600 is a wasteful number, since it uses less digits than its factorization.

3085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 3085600 is about 1756.5876010037. The cubic root of 3085600 is about 145.5838528163.

The spelling of 3085600 in words is "three million, eighty-five thousand, six hundred".