3838256335320 has 256 divisors, whose sum is σ = 12857010439680. Its totient is φ = 908612812800.

The previous prime is 3838256335297. The next prime is 3838256335369. The reversal of 3838256335320 is 235336528383.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330394152 + ... + 330405768.

It is an arithmetic number, because the mean of its divisors is an integer number (50222697030).

Almost surely, 2^{3838256335320} is an apocalyptic number.

3838256335320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838256335320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428505219840).

3838256335320 is an abundant number, since it is smaller than the sum of its proper divisors (9018754104360).

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

3838256335320 is a wasteful number, since it uses less digits than its factorization.

3838256335320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17506 (or 17502 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 3838256335320 in words is "three trillion, eight hundred thirty-eight billion, two hundred fifty-six million, three hundred thirty-five thousand, three hundred twenty".