34133431304 has 64 divisors (see below), whose sum is σ = 74883916800. Its totient is φ = 14280807744.

The previous prime is 34133431289. The next prime is 34133431331. The reversal of 34133431304 is 40313433143.

It is a super-2 number, since 2×34133431304² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8491007 + ... + 8495025.

It is an arithmetic number, because the mean of its divisors is an integer number (1170061200).

Almost surely, 2^34133431304 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 34133431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37441958400).

34133431304 is an abundant number, since it is smaller than the sum of its proper divisors (40750485496).

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

34133431304 is a wasteful number, since it uses less digits than its factorization.

34133431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602 (or 7598 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 34133431304 its reverse (40313433143), we get a palindrome (74446864447).

The spelling of 34133431304 in words is "thirty-four billion, one hundred thirty-three million, four hundred thirty-one thousand, three hundred four".