3128141282784 has 288 divisors, whose sum is σ = 10285322664960. Its totient is φ = 826922299392.

The previous prime is 3128141282779. The next prime is 3128141282797. The reversal of 3128141282784 is 4872821418213.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4386609 + ... + 5049615.

It is an arithmetic number, because the mean of its divisors is an integer number (35712925920).

Almost surely, 2^{3128141282784} is an apocalyptic number.

3128141282784 is a gapful number since it is divisible by the number (34) 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 3128141282784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142661332480).

3128141282784 is an abundant number, since it is smaller than the sum of its proper divisors (7157181382176).

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

3128141282784 is a wasteful number, since it uses less digits than its factorization.

3128141282784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663110 (or 663095 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The spelling of 3128141282784 in words is "three trillion, one hundred twenty-eight billion, one hundred forty-one million, two hundred eighty-two thousand, seven hundred eighty-four".