38827126116 has 189 divisors, whose sum is σ = 105606393403. Its totient is φ = 12484834560.

The previous prime is 38827126007. The next prime is 38827126123. The reversal of 38827126116 is 61162172883.

The square root of 38827126116 is 197046.

It is a perfect power (a square), and thus also a powerful number.

38827126116 is a `hidden beast` number, since 3 + 8 + 8 + 27 + 1 + 2 + 611 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23668591716 + 15158534400 = 153846^2 + 123120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 436259800 + ... + 436259888.

Almost surely, 2^38827126116 is an apocalyptic number.

38827126116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38827126116 is the 197046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38827126116

38827126116 is an abundant number, since it is smaller than the sum of its proper divisors (66779267287).

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

38827126116 is an frugal number, since it uses more digits than its factorization.

38827126116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 135 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

Adding to 38827126116 its reverse (61162172883), we get a palindrome (99989298999).

The spelling of 38827126116 in words is "thirty-eight billion, eight hundred twenty-seven million, one hundred twenty-six thousand, one hundred sixteen".