34413310431 has 8 divisors (see below), whose sum is σ = 50982682160. Its totient is φ = 22942206936.

The previous prime is 34413310429. The next prime is 34413310453. The reversal of 34413310431 is 13401331443.

34413310431 is a `hidden beast` number, since 344 + 1 + 3 + 310 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 34413310431 - 2¹ = 34413310429 is a prime.

It is a super-2 number, since 2×34413310431² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1274567053 = 34413310431 / (3 + 4 + 4 + 1 + 3 + 3 + 1 + 0 + 4 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34413310395 and 34413310404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34413310931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637283500 + ... + 637283553.

It is an arithmetic number, because the mean of its divisors is an integer number (6372835270).

Almost surely, 2^34413310431 is an apocalyptic number.

34413310431 is a deficient number, since it is larger than the sum of its proper divisors (16569371729).

34413310431 is a wasteful number, since it uses less digits than its factorization.

34413310431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274567062 (or 1274567056 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34413310431 its reverse (13401331443), we get a palindrome (47814641874).

The spelling of 34413310431 in words is "thirty-four billion, four hundred thirteen million, three hundred ten thousand, four hundred thirty-one".