38273835769 has 27 divisors (see below), whose sum is σ = 42141670599. Its totient is φ = 34745131200.

The previous prime is 38273835713. The next prime is 38273835773. The reversal of 38273835769 is 96753837283.

The square root of 38273835769 is 195637.

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

38273835769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 27994309225 + 10279526544 = 167315^2 + 101388^2 .

It is not a de Polignac number, because 38273835769 - 2²³ = 38265447161 is a prime.

It is a super-2 number, since 2×38273835769² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38273835709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256871307 + ... + 256871455.

Almost surely, 2^38273835769 is an apocalyptic number.

38273835769 is the 195637-th square number.

38273835769 is the 97819-th centered octagonal number.

It is an amenable number.

38273835769 is a deficient number, since it is larger than the sum of its proper divisors (3867834830).

38273835769 is an equidigital number, since it uses as much as digits as its factorization.

38273835769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 61.

The spelling of 38273835769 in words is "thirty-eight billion, two hundred seventy-three million, eight hundred thirty-five thousand, seven hundred sixty-nine".