3033180800 has 192 divisors, whose sum is σ = 8545937400. Its totient is φ = 1053818880.

The previous prime is 3033180797. The next prime is 3033180809. The reversal of 3033180800 is 80813303.

It can be written as a sum of positive squares in 12 ways, for example, as 630612544 + 2402568256 = 25112^2 + 49016^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3033180800.

It is not an unprimeable number, because it can be changed into a prime (3033180809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705056 + ... + 709344.

Almost surely, 2^3033180800 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 3033180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272968700).

3033180800 is an abundant number, since it is smaller than the sum of its proper divisors (5512756600).

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

3033180800 is a wasteful number, since it uses less digits than its factorization.

3033180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3033180800 is about 55074.3206948574. The cubic root of 3033180800 is about 1447.5473082001.

The spelling of 3033180800 in words is "three billion, thirty-three million, one hundred eighty thousand, eight hundred".