320343408 has 240 divisors, whose sum is σ = 1130927616. Its totient is φ = 82229760.

The previous prime is 320343407. The next prime is 320343433. The reversal of 320343408 is 804343023.

320343408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320343407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1851610 + ... + 1851782.

Almost surely, 2^320343408 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 320343408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565463808).

320343408 is an abundant number, since it is smaller than the sum of its proper divisors (810584208).

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

320343408 is a wasteful number, since it uses less digits than its factorization.

320343408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 320343408 is about 17898.1397916096. The cubic root of 320343408 is about 684.2349659569.

The spelling of 320343408 in words is "three hundred twenty million, three hundred forty-three thousand, four hundred eight".