320342431500 has 768 divisors, whose sum is σ = 1288125296640. Its totient is φ = 66929587200.

The previous prime is 320342431481. The next prime is 320342431529. The reversal of 320342431500 is 5134243023.

320342431500 is a `hidden beast` number, since 3 + 2 + 0 + 342 + 4 + 315 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 131448282 + ... + 131450718.

It is an arithmetic number, because the mean of its divisors is an integer number (1677246480).

Almost surely, 2^320342431500 is an apocalyptic number.

320342431500 is a gapful number since it is divisible by the number (30) 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 320342431500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644062648320).

320342431500 is an abundant number, since it is smaller than the sum of its proper divisors (967782865140).

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

320342431500 is a wasteful number, since it uses less digits than its factorization.

320342431500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 320342431500 its reverse (5134243023), we get a palindrome (325476674523).

The spelling of 320342431500 in words is "three hundred twenty billion, three hundred forty-two million, four hundred thirty-one thousand, five hundred".