34213522406634 has 80 divisors (see below), whose sum is σ = 76875414101640. Its totient is φ = 11373020628480.

The previous prime is 34213522406617. The next prime is 34213522406711. The reversal of 34213522406634 is 43660422531243.

34213522406634 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 3 + 5 + 2 + 2 + 4 + 0 + 6 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32002814352609 + 2210708054025 = 5657103^2 + 1486845^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34213522406634.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213336862 + ... + 213497174.

Almost surely, 2^{34213522406634} is an apocalyptic number.

34213522406634 is an abundant number, since it is smaller than the sum of its proper divisors (42661891695006).

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

34213522406634 is a wasteful number, since it uses less digits than its factorization.

34213522406634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163957 (or 163948 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

Adding to 34213522406634 its reverse (43660422531243), we get a palindrome (77873944937877).

The spelling of 34213522406634 in words is "thirty-four trillion, two hundred thirteen billion, five hundred twenty-two million, four hundred six thousand, six hundred thirty-four".