322434232432020 has 288 divisors, whose sum is σ = 1044379087315200. Its totient is φ = 80287722104832.

The previous prime is 322434232432009. The next prime is 322434232432021. The reversal of 322434232432020 is 20234232434223.

322434232432020 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 3 + 4 + 2 + 324 + 320 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322434232432021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94817617 + ... + 98159303.

It is an arithmetic number, because the mean of its divisors is an integer number (3626316275400).

Almost surely, 2^{322434232432020} is an apocalyptic number.

322434232432020 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 322434232432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522189543657600).

322434232432020 is an abundant number, since it is smaller than the sum of its proper divisors (721944854883180).

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

322434232432020 is a wasteful number, since it uses less digits than its factorization.

322434232432020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342127 (or 3342122 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 322434232432020 its reverse (20234232434223), we get a palindrome (342668464866243).

The spelling of 322434232432020 in words is "three hundred twenty-two trillion, four hundred thirty-four billion, two hundred thirty-two million, four hundred thirty-two thousand, twenty".