3128733840960 has 1008 divisors, whose sum is σ = 13846155641136. Its totient is φ = 642273214464.

The previous prime is 3128733840949. The next prime is 3128733840977. The reversal of 3128733840960 is 690483378213.

It can be written as a sum of positive squares in 8 ways, for example, as 5766276096 + 3122967564864 = 75936^2 + 1767192^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 3128733840897 and 3128733840906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67855674 + ... + 67901766.

It is an arithmetic number, because the mean of its divisors is an integer number (13736265517).

Almost surely, 2^{3128733840960} is an apocalyptic number.

3128733840960 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 3128733840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923077820568).

3128733840960 is an abundant number, since it is smaller than the sum of its proper divisors (10717421800176).

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

3128733840960 is a wasteful number, since it uses less digits than its factorization.

3128733840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46180 (or 46160 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

It can be divided in two parts, 3128733 and 840960, that added together give a palindrome (3969693).

The spelling of 3128733840960 in words is "three trillion, one hundred twenty-eight billion, seven hundred thirty-three million, eight hundred forty thousand, nine hundred sixty".