34024346334 has 96 divisors (see below), whose sum is σ = 81052459488. Its totient is φ = 10229760000.

The previous prime is 34024346303. The next prime is 34024346339. The reversal of 34024346334 is 43364342043.

34024346334 is a `hidden beast` number, since 3 + 40 + 243 + 46 + 334 = 666.

It is a super-2 number, since 2×34024346334² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024346339) 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, 21251134 + ... + 21252734.

It is an arithmetic number, because the mean of its divisors is an integer number (844296453).

Almost surely, 2^34024346334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34024346334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40526229744).

34024346334 is an abundant number, since it is smaller than the sum of its proper divisors (47028113154).

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

34024346334 is a wasteful number, since it uses less digits than its factorization.

34024346334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34024346334 its reverse (43364342043), we get a palindrome (77388688377).

The spelling of 34024346334 in words is "thirty-four billion, twenty-four million, three hundred forty-six thousand, three hundred thirty-four".