3987543168 has 480 divisors, whose sum is σ = 14182439040. Its totient is φ = 1108380672.

The previous prime is 3987543149. The next prime is 3987543173. The reversal of 3987543168 is 8613457893.

3987543168 is a `hidden beast` number, since 3 + 9 + 87 + 543 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23877421 + ... + 23877587.

It is an arithmetic number, because the mean of its divisors is an integer number (29546748).

Almost surely, 2^3987543168 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 3987543168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091219520).

3987543168 is an abundant number, since it is smaller than the sum of its proper divisors (10194895872).

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

3987543168 is a wasteful number, since it uses less digits than its factorization.

3987543168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3987543168 is about 63146.9965081476. The cubic root of 3987543168 is about 1585.7515060866.

The spelling of 3987543168 in words is "three billion, nine hundred eighty-seven million, five hundred forty-three thousand, one hundred sixty-eight".