320100005344 has 96 divisors (see below), whose sum is σ = 743760009216. Its totient is φ = 132706460160.

The previous prime is 320100005287. The next prime is 320100005347. The reversal of 320100005344 is 443500001023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320100005347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20247747 + ... + 20263549.

It is an arithmetic number, because the mean of its divisors is an integer number (7747500096).

Almost surely, 2^320100005344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320100005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371880004608).

320100005344 is an abundant number, since it is smaller than the sum of its proper divisors (423660003872).

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

320100005344 is a wasteful number, since it uses less digits than its factorization.

320100005344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18768 (or 18760 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 320100005344 its reverse (443500001023), we get a palindrome (763600006367).

The spelling of 320100005344 in words is "three hundred twenty billion, one hundred million, five thousand, three hundred forty-four".