3971286144 has 240 divisors, whose sum is σ = 13749790230. Its totient is φ = 1134508032.

The previous prime is 3971286133. The next prime is 3971286203. The reversal of 3971286144 is 4416821793.

3971286144 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 28 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3969000000 + 2286144 = 63000^2 + 1512^2 .

It is a super-2 number, since 2×3971286144² = 31542227275052777472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3971286144.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 504124 + ... + 511940.

Almost surely, 2^3971286144 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 3971286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874895115).

3971286144 is an abundant number, since it is smaller than the sum of its proper divisors (9778504086).

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

3971286144 is an equidigital number, since it uses as much as digits as its factorization.

3971286144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857 (or 7829 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3971286144 is about 63018.1413880162. The cubic root of 3971286144 is about 1583.5935596318.

The spelling of 3971286144 in words is "three billion, nine hundred seventy-one million, two hundred eighty-six thousand, one hundred forty-four".