34013242224 has 160 divisors (see below), whose sum is σ = 105326592000. Its totient is φ = 10447107840.

The previous prime is 34013242199. The next prime is 34013242247. The reversal of 34013242224 is 42224231043.

34013242224 is a `hidden beast` number, since 3 + 401 + 32 + 4 + 2 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3358929 + ... + 3369039.

It is an arithmetic number, because the mean of its divisors is an integer number (658291200).

Almost surely, 2^34013242224 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 34013242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52663296000).

34013242224 is an abundant number, since it is smaller than the sum of its proper divisors (71313349776).

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

34013242224 is a wasteful number, since it uses less digits than its factorization.

34013242224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34013242224 its reverse (42224231043), we get a palindrome (76237473267).

The spelling of 34013242224 in words is "thirty-four billion, thirteen million, two hundred forty-two thousand, two hundred twenty-four".