3987727214016 has 224 divisors, whose sum is σ = 13163565979648. Its totient is φ = 1037300981760.

The previous prime is 3987727214011. The next prime is 3987727214021. The reversal of 3987727214016 is 6104127277893.

It is an interprime number because it is at equal distance from previous prime (3987727214011) and next prime (3987727214021).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987727214011) 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 31 ways as a sum of consecutive naturals, for example, 287800 + ... + 2838711.

It is an arithmetic number, because the mean of its divisors is an integer number (58765919552).

Almost surely, 2^{3987727214016} 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 3987727214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581782989824).

3987727214016 is an abundant number, since it is smaller than the sum of its proper divisors (9175838765632).

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

3987727214016 is a wasteful number, since it uses less digits than its factorization.

3987727214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126619 (or 3126609 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 3987727214016 in words is "three trillion, nine hundred eighty-seven billion, seven hundred twenty-seven million, two hundred fourteen thousand, sixteen".