34205137338 has 32 divisors (see below), whose sum is σ = 69459379200. Its totient is φ = 11227625136.

The previous prime is 34205137289. The next prime is 34205137381. The reversal of 34205137338 is 83373150243.

It is a super-2 number, since 2×34205137338² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34205137296 and 34205137305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84445 + ... + 274847.

It is an arithmetic number, because the mean of its divisors is an integer number (2170605600).

Almost surely, 2^34205137338 is an apocalyptic number.

34205137338 is an abundant number, since it is smaller than the sum of its proper divisors (35254241862).

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

34205137338 is a wasteful number, since it uses less digits than its factorization.

34205137338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190866.

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 34205137338 in words is "thirty-four billion, two hundred five million, one hundred thirty-seven thousand, three hundred thirty-eight".