34409441313 has 48 divisors (see below), whose sum is σ = 56638632960. Its totient is φ = 19955289600.

The previous prime is 34409441309. The next prime is 34409441327. The reversal of 34409441313 is 31314490443.

It is not a de Polignac number, because 34409441313 - 2² = 34409441309 is a prime.

It is a super-3 number, since 3×34409441313³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34409448313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384073 + ... + 465113.

It is an arithmetic number, because the mean of its divisors is an integer number (1179971520).

Almost surely, 2^34409441313 is an apocalyptic number.

It is an amenable number.

34409441313 is a deficient number, since it is larger than the sum of its proper divisors (22229191647).

34409441313 is a wasteful number, since it uses less digits than its factorization.

34409441313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81270 (or 81267 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34409441313 in words is "thirty-four billion, four hundred nine million, four hundred forty-one thousand, three hundred thirteen".