34232244224 has 48 divisors (see below), whose sum is σ = 68612085360. Its totient is φ = 17075036160.

The previous prime is 34232244223. The next prime is 34232244251. The reversal of 34232244224 is 42244223243.

It is a super-2 number, since 2×34232244224² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34232244223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 842357 + ... + 882059.

It is an arithmetic number, because the mean of its divisors is an integer number (1429418445).

Almost surely, 2^34232244224 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 34232244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34306042680).

34232244224 is an abundant number, since it is smaller than the sum of its proper divisors (34379841136).

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

34232244224 is an equidigital number, since it uses as much as digits as its factorization.

34232244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40146 (or 40126 counting only the distinct ones).

The product of its digits is 73728, while the sum is 32.

Adding to 34232244224 its reverse (42244223243), we get a palindrome (76476467467).

The spelling of 34232244224 in words is "thirty-four billion, two hundred thirty-two million, two hundred forty-four thousand, two hundred twenty-four".