3085506072 has 192 divisors, whose sum is σ = 9500924160. Its totient is φ = 896313600.

The previous prime is 3085506071. The next prime is 3085506089. The reversal of 3085506072 is 2706055803.

3085506072 is a `hidden beast` number, since 3 + 0 + 85 + 506 + 0 + 72 = 666.

3085506072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085506071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2079843 + ... + 2081325.

It is an arithmetic number, because the mean of its divisors is an integer number (49483980).

Almost surely, 2^3085506072 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 3085506072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750462080).

3085506072 is an abundant number, since it is smaller than the sum of its proper divisors (6415418088).

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

3085506072 is a wasteful number, since it uses less digits than its factorization.

3085506072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3085506072 is about 55547.3318171089. The cubic root of 3085506072 is about 1455.8237557370.

The spelling of 3085506072 in words is "three billion, eighty-five million, five hundred six thousand, seventy-two".