3838124444 has 96 divisors (see below), whose sum is σ = 8622028800. Its totient is φ = 1451540160.

The previous prime is 3838124419. The next prime is 3838124467. The reversal of 3838124444 is 4444218383.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369867 + ... + 2371485.

It is an arithmetic number, because the mean of its divisors is an integer number (89812800).

Almost surely, 2^3838124444 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 3838124444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311014400).

3838124444 is an abundant number, since it is smaller than the sum of its proper divisors (4783904356).

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

3838124444 is a wasteful number, since it uses less digits than its factorization.

3838124444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1861 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

The square root of 3838124444 is about 61952.5983635876. The cubic root of 3838124444 is about 1565.6920651742.

The spelling of 3838124444 in words is "three billion, eight hundred thirty-eight million, one hundred twenty-four thousand, four hundred forty-four".