34004114431 has 12 divisors (see below), whose sum is σ = 39619744680. Its totient is φ = 29099271600.

The previous prime is 34004114381. The next prime is 34004114449. The reversal of 34004114431 is 13441140043.

It is not a de Polignac number, because 34004114431 - 2⁹ = 34004113919 is a prime.

It is a super-2 number, since 2×34004114431² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34004114396 and 34004114405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004111431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530220 + ... + 590881.

It is an arithmetic number, because the mean of its divisors is an integer number (3301645390).

Almost surely, 2^34004114431 is an apocalyptic number.

34004114431 is a deficient number, since it is larger than the sum of its proper divisors (5615630249).

34004114431 is a wasteful number, since it uses less digits than its factorization.

34004114431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121734 (or 1121727 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34004114431 its reverse (13441140043), we get a palindrome (47445254474).

The spelling of 34004114431 in words is "thirty-four billion, four million, one hundred fourteen thousand, four hundred thirty-one".