3128747993280 has 672 divisors, whose sum is σ = 13526895642624. Its totient is φ = 646083551232.

The previous prime is 3128747993269. The next prime is 3128747993309. The reversal of 3128747993280 is 823997478213.

3128747993280 is a `hidden beast` number, since 3 + 1 + 2 + 87 + 479 + 9 + 3 + 2 + 80 = 666.

3128747993280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12190759 + ... + 12444761.

It is an arithmetic number, because the mean of its divisors is an integer number (20129308992).

Almost surely, 2^{3128747993280} is an apocalyptic number.

3128747993280 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 3128747993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763447821312).

3128747993280 is an abundant number, since it is smaller than the sum of its proper divisors (10398147649344).

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

3128747993280 is a wasteful number, since it uses less digits than its factorization.

3128747993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254093 (or 254080 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 3128747993280 in words is "three trillion, one hundred twenty-eight billion, seven hundred forty-seven million, nine hundred ninety-three thousand, two hundred eighty".