34222265424 has 120 divisors (see below), whose sum is σ = 99408429120. Its totient is φ = 11397500928.

The previous prime is 34222265419. The next prime is 34222265431. The reversal of 34222265424 is 42456222243.

34222265424 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 226 + 5 + 424 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5475069 + ... + 5481315.

It is an arithmetic number, because the mean of its divisors is an integer number (828403576).

Almost surely, 2^34222265424 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 34222265424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49704214560).

34222265424 is an abundant number, since it is smaller than the sum of its proper divisors (65186163696).

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

34222265424 is a wasteful number, since it uses less digits than its factorization.

34222265424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7679 (or 7661 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 34222265424 its reverse (42456222243), we get a palindrome (76678487667).

The spelling of 34222265424 in words is "thirty-four billion, two hundred twenty-two million, two hundred sixty-five thousand, four hundred twenty-four".