3971187360 has 432 divisors, whose sum is σ = 16456317696. Its totient is φ = 867879936.

The previous prime is 3971187349. The next prime is 3971187361. The reversal of 3971187360 is 637811793.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3971187361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1621657 + ... + 1624103.

It is an arithmetic number, because the mean of its divisors is an integer number (38093328).

Almost surely, 2^3971187360 is an apocalyptic number.

3971187360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3971187360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228158848).

3971187360 is an abundant number, since it is smaller than the sum of its proper divisors (12485130336).

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

3971187360 is a wasteful number, since it uses less digits than its factorization.

3971187360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 3971187360 is about 63017.3576088366. The cubic root of 3971187360 is about 1583.5804291246.

The spelling of 3971187360 in words is "three billion, nine hundred seventy-one million, one hundred eighty-seven thousand, three hundred sixty".