34431300313443 has 24 divisors (see below), whose sum is σ = 55578684326256. Its totient is φ = 20358492422400.

The previous prime is 34431300313391. The next prime is 34431300313447.

34431300313443 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 1 + 300 + 3 + 1 + 344 + 3 = 666.

34431300313443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34431300313443 - 2²⁰ = 34431299264867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34431300313398 and 34431300313407.

It is not an unprimeable number, because it can be changed into a prime (34431300313447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4241348530 + ... + 4241356647.

It is an arithmetic number, because the mean of its divisors is an integer number (2315778513594).

Almost surely, 2^{34431300313443} is an apocalyptic number.

34431300313443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34431300313443 is a deficient number, since it is larger than the sum of its proper divisors (21147384012813).

34431300313443 is a wasteful number, since it uses less digits than its factorization.

34431300313443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8482705235 (or 8482705232 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 34431300 and 313443, that added together give a palindrome (34744743).

The spelling of 34431300313443 in words is "thirty-four trillion, four hundred thirty-one billion, three hundred million, three hundred thirteen thousand, four hundred forty-three".