3128371200 has 576 divisors, whose sum is σ = 12024230400. Its totient is φ = 796262400.

The previous prime is 3128371199. The next prime is 3128371249. The reversal of 3128371200 is 21738213.

3128371200 is a `hidden beast` number, since 312 + 83 + 71 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 42854364 + ... + 42854436.

It is an arithmetic number, because the mean of its divisors is an integer number (20875400).

Almost surely, 2^3128371200 is an apocalyptic number.

3128371200 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 3128371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012115200).

3128371200 is an abundant number, since it is smaller than the sum of its proper divisors (8895859200).

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

3128371200 is a wasteful number, since it uses less digits than its factorization.

3128371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3128371200 is about 55931.8442392167. The cubic root of 3128371200 is about 1462.5344107617.

The spelling of 3128371200 in words is "three billion, one hundred twenty-eight million, three hundred seventy-one thousand, two hundred".