320032030220032 has 72 divisors (see below), whose sum is σ = 688123404788400. Its totient is φ = 147670604759040.

The previous prime is 320032030220011. The next prime is 320032030220039. The reversal of 320032030220032 is 230022030230023.

It is a super-3 number, since 3×320032030220032³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320032030219985 and 320032030220012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320032030220039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1600107 + ... + 25350037.

It is an arithmetic number, because the mean of its divisors is an integer number (9557269510950).

Almost surely, 2^{320032030220032} is an apocalyptic number.

320032030220032 is a gapful number since it is divisible by the number (32) 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 320032030220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344061702394200).

320032030220032 is an abundant number, since it is smaller than the sum of its proper divisors (368091374568368).

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

320032030220032 is a wasteful number, since it uses less digits than its factorization.

320032030220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23754009 (or 23753995 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 320032030220032 its reverse (230022030230023), we get a palindrome (550054060450055).

Subtracting from 320032030220032 its reverse (230022030230023), we obtain a palindrome (90009999990009).

The spelling of 320032030220032 in words is "three hundred twenty trillion, thirty-two billion, thirty million, two hundred twenty thousand, thirty-two".