34356434013 has 32 divisors (see below), whose sum is σ = 56075356800. Its totient is φ = 20615904000.

The previous prime is 34356433987. The next prime is 34356434017. The reversal of 34356434013 is 31043465343.

34356434013 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 643 + 4 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 34356434013 - 2⁸ = 34356433757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34356434017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542668 + ... + 602661.

It is an arithmetic number, because the mean of its divisors is an integer number (1752354900).

Almost surely, 2^34356434013 is an apocalyptic number.

34356434013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34356434013 is a deficient number, since it is larger than the sum of its proper divisors (21718922787).

34356434013 is a wasteful number, since it uses less digits than its factorization.

34356434013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145450 (or 1145444 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 34356434013 its reverse (31043465343), we get a palindrome (65399899356).

The spelling of 34356434013 in words is "thirty-four billion, three hundred fifty-six million, four hundred thirty-four thousand, thirteen".