9038875329 has 81 divisors (see below), whose sum is σ = 14915047329. Its totient is φ = 5270847120.

The previous prime is 9038875309. The next prime is 9038875393. The reversal of 9038875329 is 9235788309.

It is a happy number.

The square root of 9038875329 is 95073.

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

It is not a de Polignac number, because 9038875329 - 2⁷ = 9038875201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9038875309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 134908554 + ... + 134908620.

Almost surely, 2^9038875329 is an apocalyptic number.

9038875329 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9038875329 is the 95073-rd square number.

9038875329 is the 47537-th centered octagonal number.

It is an amenable number.

9038875329 is a deficient number, since it is larger than the sum of its proper divisors (5876172000).

9038875329 is a wasteful number, since it uses less digits than its factorization.

9038875329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The cubic root of 9038875329 is about 2083.0744819955.

The spelling of 9038875329 in words is "nine billion, thirty-eight million, eight hundred seventy-five thousand, three hundred twenty-nine".