38182332409 has 9 divisors (see below), whose sum is σ = 41348116719. Its totient is φ = 35242885080.

The previous prime is 38182332347. The next prime is 38182332427. The reversal of 38182332409 is 90423328183.

The square root of 38182332409 is 195403.

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

It can be written as a sum of positive squares in only one way, i.e., 5648274025 + 32534058384 = 75155^2 + 180372^2 .

It is not a de Polignac number, because 38182332409 - 2⁷ = 38182332281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38182332109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2532724 + ... + 2547754.

It is an arithmetic number, because the mean of its divisors is an integer number (4594235191).

Almost surely, 2^38182332409 is an apocalyptic number.

38182332409 is the 195403-rd square number.

38182332409 is the 97702-nd centered octagonal number.

It is an amenable number.

38182332409 is a deficient number, since it is larger than the sum of its proper divisors (3165784310).

38182332409 is an frugal number, since it uses more digits than its factorization.

38182332409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30088 (or 15044 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 38182332409 in words is "thirty-eight billion, one hundred eighty-two million, three hundred thirty-two thousand, four hundred nine".