3984538834752 has 224 divisors, whose sum is σ = 12426687221760. Its totient is φ = 1103183923200.

The previous prime is 3984538834747. The next prime is 3984538834789. The reversal of 3984538834752 is 2574388354893.

3984538834752 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 (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6067699 + ... + 6692237.

It is an arithmetic number, because the mean of its divisors is an integer number (55476282240).

Almost surely, 2^{3984538834752} is an apocalyptic number.

3984538834752 is a gapful number since it is divisible by the number (32) 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 3984538834752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213343610880).

3984538834752 is an abundant number, since it is smaller than the sum of its proper divisors (8442148387008).

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

3984538834752 is a wasteful number, since it uses less digits than its factorization.

3984538834752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624709 (or 624699 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 69.

The spelling of 3984538834752 in words is "three trillion, nine hundred eighty-four billion, five hundred thirty-eight million, eight hundred thirty-four thousand, seven hundred fifty-two".