34334225442 has 96 divisors (see below), whose sum is σ = 82487808000. Its totient is φ = 10233732960.

The previous prime is 34334225417. The next prime is 34334225447. The reversal of 34334225442 is 24452243343.

34334225442 is a `hidden beast` number, since 34 + 334 + 2 + 254 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34334225397 and 34334225406.

It is not an unprimeable number, because it can be changed into a prime (34334225447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11447059 + ... + 11450057.

It is an arithmetic number, because the mean of its divisors is an integer number (859248000).

Almost surely, 2^34334225442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34334225442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41243904000).

34334225442 is an abundant number, since it is smaller than the sum of its proper divisors (48153582558).

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

34334225442 is a wasteful number, since it uses less digits than its factorization.

34334225442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3945 counting only the distinct ones).

The product of its digits is 276480, while the sum is 36.

Adding to 34334225442 its reverse (24452243343), we get a palindrome (58786468785).

The spelling of 34334225442 in words is "thirty-four billion, three hundred thirty-four million, two hundred twenty-five thousand, four hundred forty-two".