3968117244 has 288 divisors, whose sum is σ = 13353966080. Its totient is φ = 964099584.

The previous prime is 3968117233. The next prime is 3968117291. The reversal of 3968117244 is 4427118693.

3968117244 is a `hidden beast` number, since 396 + 8 + 1 + 17 + 244 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3968117244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2302167 + ... + 2303889.

Almost surely, 2^3968117244 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 3968117244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676983040).

3968117244 is an abundant number, since it is smaller than the sum of its proper divisors (9385848836).

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

3968117244 is a wasteful number, since it uses less digits than its factorization.

3968117244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1804 counting only the distinct ones).

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

The square root of 3968117244 is about 62992.9936104008. The cubic root of 3968117244 is about 1583.1722364284.

The spelling of 3968117244 in words is "three billion, nine hundred sixty-eight million, one hundred seventeen thousand, two hundred forty-four".