34122220434 has 64 divisors (see below), whose sum is σ = 77227188480. Its totient is φ = 11165454720.

The previous prime is 34122220417. The next prime is 34122220453. The reversal of 34122220434 is 43402222143.

34122220434 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 2 + 220 + 434 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34122220398 and 34122220407.

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, 874224 + ... + 912420.

It is an arithmetic number, because the mean of its divisors is an integer number (1206674820).

Almost surely, 2^34122220434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34122220434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38613594240).

34122220434 is an abundant number, since it is smaller than the sum of its proper divisors (43104968046).

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

34122220434 is a wasteful number, since it uses less digits than its factorization.

34122220434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38512 (or 38506 counting only the distinct ones).

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

Adding to 34122220434 its reverse (43402222143), we get a palindrome (77524442577).

The spelling of 34122220434 in words is "thirty-four billion, one hundred twenty-two million, two hundred twenty thousand, four hundred thirty-four".