322434217728 has 576 divisors, whose sum is σ = 1119018378240. Its totient is φ = 89679052800.

The previous prime is 322434217723. The next prime is 322434217739. The reversal of 322434217728 is 827712434223.

322434217728 is a `hidden beast` number, since 3 + 22 + 434 + 2 + 177 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322434217723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315801858 + ... + 315802878.

It is an arithmetic number, because the mean of its divisors is an integer number (1942740240).

Almost surely, 2^322434217728 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 322434217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559509189120).

322434217728 is an abundant number, since it is smaller than the sum of its proper divisors (796584160512).

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

322434217728 is a wasteful number, since it uses less digits than its factorization.

322434217728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1201 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 322434217728 in words is "three hundred twenty-two billion, four hundred thirty-four million, two hundred seventeen thousand, seven hundred twenty-eight".