3081008800 has 72 divisors (see below), whose sum is σ = 7624691676. Its totient is φ = 1215498240.

The previous prime is 3081008789. The next prime is 3081008803. The reversal of 3081008800 is 88001803.

3081008800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1862440336 + 1218568464 = 43156^2 + 34908^2 .

It is not an unprimeable number, because it can be changed into a prime (3081008803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32022 + ... + 84778.

Almost surely, 2^3081008800 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 3081008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812345838).

3081008800 is an abundant number, since it is smaller than the sum of its proper divisors (4543682876).

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

3081008800 is a wasteful number, since it uses less digits than its factorization.

3081008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52850 (or 52837 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 3081008800 is about 55506.8356150844. The cubic root of 3081008800 is about 1455.1161010003.

The spelling of 3081008800 in words is "three billion, eighty-one million, eight thousand, eight hundred".