3987168 has 48 divisors (see below), whose sum is σ = 10732176. Its totient is φ = 1295360.

The previous prime is 3987167. The next prime is 3987173. The reversal of 3987168 is 8617893.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3430 + ... + 4442.

It is an arithmetic number, because the mean of its divisors is an integer number (223587).

Almost surely, 2^3987168 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 3987168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366088).

3987168 is an abundant number, since it is smaller than the sum of its proper divisors (6745008).

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

3987168 is a wasteful number, since it uses less digits than its factorization.

3987168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 3987168 is about 1996.7894230489. The cubic root of 3987168 is about 158.5701772717.

The spelling of 3987168 in words is "three million, nine hundred eighty-seven thousand, one hundred sixty-eight".