34110200431 has 16 divisors (see below), whose sum is σ = 34974720000. Its totient is φ = 33257480256.

The previous prime is 34110200389. The next prime is 34110200459. The reversal of 34110200431 is 13400201143.

It is a cyclic number.

It is not a de Polignac number, because 34110200431 - 2⁷ = 34110200303 is a prime.

It is a super-2 number, since 2×34110200431² (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 = 34110200399 and 34110200408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34110200731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6458850 + ... + 6464128.

It is an arithmetic number, because the mean of its divisors is an integer number (2185920000).

Almost surely, 2^34110200431 is an apocalyptic number.

34110200431 is a deficient number, since it is larger than the sum of its proper divisors (864519569).

34110200431 is an equidigital number, since it uses as much as digits as its factorization.

34110200431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 34110200431 its reverse (13400201143), we get a palindrome (47510401574).

The spelling of 34110200431 in words is "thirty-four billion, one hundred ten million, two hundred thousand, four hundred thirty-one".