3988312164144 has 480 divisors, whose sum is σ = 14112277470720. Its totient is φ = 1021411123200.

The previous prime is 3988312164139. The next prime is 3988312164157. The reversal of 3988312164144 is 4414612138893.

3988312164144 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 3 + 1 + 216 + 414 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228038152 + ... + 228055640.

It is an arithmetic number, because the mean of its divisors is an integer number (29400578064).

Almost surely, 2^{3988312164144} 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 3988312164144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056138735360).

3988312164144 is an abundant number, since it is smaller than the sum of its proper divisors (10123965306576).

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

3988312164144 is a wasteful number, since it uses less digits than its factorization.

3988312164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17809 (or 17800 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 3988312164144 in words is "three trillion, nine hundred eighty-eight billion, three hundred twelve million, one hundred sixty-four thousand, one hundred forty-four".