8304004038 has 64 divisors (see below), whose sum is σ = 18754928640. Its totient is φ = 2428336800.

The previous prime is 8304004031. The next prime is 8304004057.

8304004038 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8304003996 and 8304004014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8304004031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745353 + ... + 756411.

It is an arithmetic number, because the mean of its divisors is an integer number (293045760).

Almost surely, 2^8304004038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8304004038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377464320).

8304004038 is an abundant number, since it is smaller than the sum of its proper divisors (10450924602).

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

8304004038 is a wasteful number, since it uses less digits than its factorization.

8304004038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11473.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 8304004038 is about 91126.3081552194. The cubic root of 8304004038 is about 2025.0193800310.

It can be divided in two parts, 830400 and 4038, that added together give a palindrome (834438).

The spelling of 8304004038 in words is "eight billion, three hundred four million, four thousand, thirty-eight".