34132223424 has 112 divisors (see below), whose sum is σ = 98258282528. Its totient is φ = 10393878528.

The previous prime is 34132223407. The next prime is 34132223443. The reversal of 34132223424 is 42432223143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34132223391 and 34132223400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171624 + ... + 312600.

It is an arithmetic number, because the mean of its divisors is an integer number (877306094).

Almost surely, 2^34132223424 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 34132223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49129141264).

34132223424 is an abundant number, since it is smaller than the sum of its proper divisors (64126059104).

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

34132223424 is a wasteful number, since it uses less digits than its factorization.

34132223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141102 (or 141092 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 34132223424 its reverse (42432223143), we get a palindrome (76564446567).

The spelling of 34132223424 in words is "thirty-four billion, one hundred thirty-two million, two hundred twenty-three thousand, four hundred twenty-four".