3944021739328 has 448 divisors, whose sum is σ = 9640680134400. Its totient is φ = 1579129896960.

The previous prime is 3944021739323. The next prime is 3944021739337. The reversal of 3944021739328 is 8239371204493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944021739323) 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 63 ways as a sum of consecutive naturals, for example, 5380656850 + ... + 5380657582.

It is an arithmetic number, because the mean of its divisors is an integer number (21519375300).

Almost surely, 2^{3944021739328} 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 3944021739328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820340067200).

3944021739328 is an abundant number, since it is smaller than the sum of its proper divisors (5696658395072).

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

3944021739328 is a wasteful number, since it uses less digits than its factorization.

3944021739328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 3944021739328 in words is "three trillion, nine hundred forty-four billion, twenty-one million, seven hundred thirty-nine thousand, three hundred twenty-eight".