320125344 has 288 divisors, whose sum is σ = 1098252288. Its totient is φ = 79833600.

The previous prime is 320125343. The next prime is 320125363. The reversal of 320125344 is 443521023.

It is a super-2 number, since 2×320125344² = 204960471742236672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (320125343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2520609 + ... + 2520735.

It is an arithmetic number, because the mean of its divisors is an integer number (3813376).

Almost surely, 2^320125344 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 320125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549126144).

320125344 is an abundant number, since it is smaller than the sum of its proper divisors (778126944).

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

320125344 is a wasteful number, since it uses less digits than its factorization.

320125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 320125344 is about 17892.0469482952. The cubic root of 320125344 is about 684.0796733566.

Adding to 320125344 its reverse (443521023), we get a palindrome (763646367).

The spelling of 320125344 in words is "three hundred twenty million, one hundred twenty-five thousand, three hundred forty-four".