9004759038 has 128 divisors (see below), whose sum is σ = 22624358400. Its totient is φ = 2630102400.

The previous prime is 9004759033. The next prime is 9004759051. The reversal of 9004759038 is 8309574009.

9004759038 is a `hidden beast` number, since 90 + 0 + 475 + 90 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9004758984 and 9004759002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9004759033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5394468 + ... + 5396136.

It is an arithmetic number, because the mean of its divisors is an integer number (176752800).

Almost surely, 2^9004759038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9004759038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11312179200).

9004759038 is an abundant number, since it is smaller than the sum of its proper divisors (13619599362).

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

9004759038 is a wasteful number, since it uses less digits than its factorization.

9004759038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9004759038 is about 94893.4088227417. The cubic root of 9004759038 is about 2080.4503954086.

The spelling of 9004759038 in words is "nine billion, four million, seven hundred fifty-nine thousand, thirty-eight".