3984988522752 has 216 divisors, whose sum is σ = 11676085424640. Its totient is φ = 1306860871680.

The previous prime is 3984988522733. The next prime is 3984988522859. The reversal of 3984988522752 is 2572258894893.

It is a happy number.

3984988522752 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 98 + 8 + 522 + 7 + 5 + 2 = 666.

3984988522752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78331308 + ... + 78382164.

It is an arithmetic number, because the mean of its divisors is an integer number (54055951040).

Almost surely, 2^{3984988522752} is an apocalyptic number.

3984988522752 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 3984988522752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838042712320).

3984988522752 is an abundant number, since it is smaller than the sum of its proper divisors (7691096901888).

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

3984988522752 is a wasteful number, since it uses less digits than its factorization.

3984988522752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51429 (or 51412 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 3984988522752 in words is "three trillion, nine hundred eighty-four billion, nine hundred eighty-eight million, five hundred twenty-two thousand, seven hundred fifty-two".