3838728438426 has 192 divisors, whose sum is σ = 9284703740928. Its totient is φ = 1035758368512.

The previous prime is 3838728438409. The next prime is 3838728438463. The reversal of 3838728438426 is 6248348278383.

3838728438426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331118886 + ... + 331130478.

It is an arithmetic number, because the mean of its divisors is an integer number (48357831984).

Almost surely, 2^{3838728438426} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838728438426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642351870464).

3838728438426 is an abundant number, since it is smaller than the sum of its proper divisors (5445975302502).

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

3838728438426 is a wasteful number, since it uses less digits than its factorization.

3838728438426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825 (or 11778 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 66.

The spelling of 3838728438426 in words is "three trillion, eight hundred thirty-eight billion, seven hundred twenty-eight million, four hundred thirty-eight thousand, four hundred twenty-six".