34400300013 has 12 divisors (see below), whose sum is σ = 49966918560. Its totient is φ = 22805411976.

The previous prime is 34400300009. The next prime is 34400300041. The reversal of 34400300013 is 31000300443.

34400300013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34400300013 - 2² = 34400300009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400300063) 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, 10675081 + ... + 10678302.

It is an arithmetic number, because the mean of its divisors is an integer number (4163909880).

Almost surely, 2^34400300013 is an apocalyptic number.

It is an amenable number.

34400300013 is a deficient number, since it is larger than the sum of its proper divisors (15566618547).

34400300013 is a wasteful number, since it uses less digits than its factorization.

34400300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21353568 (or 21353565 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 34400300013 its reverse (31000300443), we get a palindrome (65400600456).

The spelling of 34400300013 in words is "thirty-four billion, four hundred million, three hundred thousand, thirteen".