3984348714528 has 864 divisors, whose sum is σ = 13658681635200. Its totient is φ = 1007935488000.

The previous prime is 3984348714527. The next prime is 3984348714539. The reversal of 3984348714528 is 8254178434893.

3984348714528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3984348714523) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8873827648 + ... + 8873828096.

It is an arithmetic number, because the mean of its divisors is an integer number (15808659300).

Almost surely, 2^{3984348714528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984348714528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829340817600).

3984348714528 is an abundant number, since it is smaller than the sum of its proper divisors (9674332920672).

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

3984348714528 is a wasteful number, since it uses less digits than its factorization.

3984348714528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 656 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 66.

The spelling of 3984348714528 in words is "three trillion, nine hundred eighty-four billion, three hundred forty-eight million, seven hundred fourteen thousand, five hundred twenty-eight".