3968888742 has 96 divisors (see below), whose sum is σ = 10718023680. Its totient is φ = 1033456320.

The previous prime is 3968888687. The next prime is 3968888743. The reversal of 3968888742 is 2478888693.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3968888742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968888743) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 114067 + ... + 144737.

It is an arithmetic number, because the mean of its divisors is an integer number (111646080).

Almost surely, 2^3968888742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968888742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359011840).

3968888742 is an abundant number, since it is smaller than the sum of its proper divisors (6749134938).

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

3968888742 is a wasteful number, since it uses less digits than its factorization.

3968888742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30778 (or 30775 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 3968888742 is about 62999.1169938119. The cubic root of 3968888742 is about 1583.2748321088.

The spelling of 3968888742 in words is "three billion, nine hundred sixty-eight million, eight hundred eighty-eight thousand, seven hundred forty-two".