3938444841408 has 448 divisors, whose sum is σ = 13129213280256. Its totient is φ = 1012193280000.

The previous prime is 3938444841407. The next prime is 3938444841413. The reversal of 3938444841408 is 8041484448393.

3938444841408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3938444841408² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3938444841407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 752902153 + ... + 752907383.

Almost surely, 2^{3938444841408} 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 3938444841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564606640128).

3938444841408 is an abundant number, since it is smaller than the sum of its proper divisors (9190768438848).

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

3938444841408 is a wasteful number, since it uses less digits than its factorization.

3938444841408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 3938444841408 in words is "three trillion, nine hundred thirty-eight billion, four hundred forty-four million, eight hundred forty-one thousand, four hundred eight".