34350121032304 has 160 divisors (see below), whose sum is σ = 83144439415296. Its totient is φ = 13355955164160.

The previous prime is 34350121032247. The next prime is 34350121032313. The reversal of 34350121032304 is 40323012105343.

It is a happy number.

It is a super-2 number, since 2×34350121032304² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1867149634 + ... + 1867168030.

Almost surely, 2^{34350121032304} 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 34350121032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41572219707648).

34350121032304 is an abundant number, since it is smaller than the sum of its proper divisors (48794318382992).

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

34350121032304 is a wasteful number, since it uses less digits than its factorization.

34350121032304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21423 (or 21417 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 34350121032304 its reverse (40323012105343), we get a palindrome (74673133137647).

The spelling of 34350121032304 in words is "thirty-four trillion, three hundred fifty billion, one hundred twenty-one million, thirty-two thousand, three hundred four".