3128320876800 has 1944 divisors, whose sum is σ = 12968140110912. Its totient is φ = 661893120000.

The previous prime is 3128320876787. The next prime is 3128320876843. The reversal of 3128320876800 is 86780238213.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3128320876800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20717356725 + ... + 20717356875.

Almost surely, 2^{3128320876800} is an apocalyptic number.

3128320876800 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 3128320876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484070055456).

3128320876800 is an abundant number, since it is smaller than the sum of its proper divisors (9839819234112).

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

3128320876800 is a wasteful number, since it uses less digits than its factorization.

3128320876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 3128320876800 in words is "three trillion, one hundred twenty-eight billion, three hundred twenty million, eight hundred seventy-six thousand, eight hundred".