3942968832 has 240 divisors, whose sum is σ = 12547446912. Its totient is φ = 1182044160.

The previous prime is 3942968819. The next prime is 3942968849. The reversal of 3942968832 is 2388692493.

It is a happy number.

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

It is a congruent number.

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, 5423253 + ... + 5423979.

Almost surely, 2^3942968832 is an apocalyptic number.

3942968832 is a gapful number since it is divisible by the number (32) 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 3942968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273723456).

3942968832 is an abundant number, since it is smaller than the sum of its proper divisors (8604478080).

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

3942968832 is a wasteful number, since it uses less digits than its factorization.

3942968832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 850 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3942968832 is about 62793.0635659704. The cubic root of 3942968832 is about 1579.8206323114.

The spelling of 3942968832 in words is "three billion, nine hundred forty-two million, nine hundred sixty-eight thousand, eight hundred thirty-two".