3128608800 has 180 divisors, whose sum is σ = 11409664266. Its totient is φ = 834278400.

The previous prime is 3128608781. The next prime is 3128608801. The reversal of 3128608800 is 88068213.

It can be written as a sum of positive squares in 3 ways, for example, as 2220671376 + 907937424 = 47124^2 + 30132^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (3128608801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 40660 + ... + 88940.

Almost surely, 2^3128608800 is an apocalyptic number.

3128608800 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 3128608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704832133).

3128608800 is an abundant number, since it is smaller than the sum of its proper divisors (8281055466).

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

3128608800 is a wasteful number, since it uses less digits than its factorization.

3128608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48313 (or 48291 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3128608800 is about 55933.9682125272. The cubic root of 3128608800 is about 1462.5714363528.

The spelling of 3128608800 in words is "three billion, one hundred twenty-eight million, six hundred eight thousand, eight hundred".