38538269856 has 192 divisors, whose sum is σ = 113406652800. Its totient is φ = 12732069888.

The previous prime is 38538269837. The next prime is 38538269893. The reversal of 38538269856 is 65896283583.

38538269856 is a `hidden beast` number, since 3 + 8 + 538 + 2 + 6 + 98 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38538269793 and 38538269802.

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, 67729540 + ... + 67730108.

It is an arithmetic number, because the mean of its divisors is an integer number (590659650).

Almost surely, 2^38538269856 is an apocalyptic number.

38538269856 is a gapful number since it is divisible by the number (36) 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 38538269856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56703326400).

38538269856 is an abundant number, since it is smaller than the sum of its proper divisors (74868382944).

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

38538269856 is a wasteful number, since it uses less digits than its factorization.

38538269856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 38538269856 in words is "thirty-eight billion, five hundred thirty-eight million, two hundred sixty-nine thousand, eight hundred fifty-six".