34224414032 has 40 divisors (see below), whose sum is σ = 68820074400. Its totient is φ = 16468244352.

The previous prime is 34224414013. The next prime is 34224414041. The reversal of 34224414032 is 23041442243.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 34224413986 and 34224414004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22319 + ... + 262577.

It is an arithmetic number, because the mean of its divisors is an integer number (1720501860).

Almost surely, 2^34224414032 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 34224414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410037200).

34224414032 is an abundant number, since it is smaller than the sum of its proper divisors (34595660368).

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

34224414032 is a wasteful number, since it uses less digits than its factorization.

34224414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240603 (or 240597 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 34224414032 its reverse (23041442243), we get a palindrome (57265856275).

The spelling of 34224414032 in words is "thirty-four billion, two hundred twenty-four million, four hundred fourteen thousand, thirty-two".