3971631168 has 168 divisors, whose sum is σ = 11926824000. Its totient is φ = 1261218816.

The previous prime is 3971631151. The next prime is 3971631179. The reversal of 3971631168 is 8611361793.

3971631168 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 631 + 1 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4623123 + ... + 4623981.

It is an arithmetic number, because the mean of its divisors is an integer number (70993000).

Almost surely, 2^3971631168 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 3971631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963412000).

3971631168 is an abundant number, since it is smaller than the sum of its proper divisors (7955192832).

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

3971631168 is a wasteful number, since it uses less digits than its factorization.

3971631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1236 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 3971631168 is about 63020.8788259891. The cubic root of 3971631168 is about 1583.6394189951.

The spelling of 3971631168 in words is "three billion, nine hundred seventy-one million, six hundred thirty-one thousand, one hundred sixty-eight".