3988803840000 has 2880 divisors, whose sum is σ = 17325517809600. Its totient is φ = 809238528000.

The previous prime is 3988803839987. The next prime is 3988803840001. The reversal of 3988803840000 is 483088893.

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

It is not an unprimeable number, because it can be changed into a prime (3988803840001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 92762879979 + ... + 92762880021.

It is an arithmetic number, because the mean of its divisors is an integer number (6015804795).

Almost surely, 2^{3988803840000} is an apocalyptic number.

3988803840000 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 3988803840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8662758904800).

3988803840000 is an abundant number, since it is smaller than the sum of its proper divisors (13336713969600).

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

3988803840000 is a wasteful number, since it uses less digits than its factorization.

3988803840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 3988803840000 in words is "three trillion, nine hundred eighty-eight billion, eight hundred three million, eight hundred forty thousand".