10000344320 has 72 divisors (see below), whose sum is σ = 24291550080. Its totient is φ = 3943761920.

The previous prime is 10000344283. The next prime is 10000344329. The reversal of 10000344320 is 2344300001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000344329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35861 + ... + 145899.

It is an arithmetic number, because the mean of its divisors is an integer number (337382640).

Almost surely, 2^10000344320 is an apocalyptic number.

10000344320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12145775040).

10000344320 is an abundant number, since it is smaller than the sum of its proper divisors (14291205760).

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

10000344320 is an equidigital number, since it uses as much as digits as its factorization.

10000344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110131 (or 110117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 10000344320 its reverse (2344300001), we get a palindrome (12344644321).

The spelling of 10000344320 in words is "ten billion, three hundred forty-four thousand, three hundred twenty".