3944723328 has 640 divisors, whose sum is σ = 14970352320. Its totient is φ = 1003290624.

The previous prime is 3944723317. The next prime is 3944723329. The reversal of 3944723328 is 8233274493.

3944723328 is a `hidden beast` number, since 394 + 4 + 7 + 233 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944723329) 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 79 ways as a sum of consecutive naturals, for example, 34909000 + ... + 34909112.

Almost surely, 2^3944723328 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 3944723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485176160).

3944723328 is an abundant number, since it is smaller than the sum of its proper divisors (11025628992).

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

3944723328 is a wasteful number, since it uses less digits than its factorization.

3944723328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3944723328 is about 62807.0324724867. The cubic root of 3944723328 is about 1580.0549209131.

The spelling of 3944723328 in words is "three billion, nine hundred forty-four million, seven hundred twenty-three thousand, three hundred twenty-eight".