34034330313 has 24 divisors (see below), whose sum is σ = 52496421120. Its totient is φ = 21200467680.

The previous prime is 34034330311. The next prime is 34034330321. The reversal of 34034330313 is 31303343043.

34034330313 is a `hidden beast` number, since 3 + 4 + 0 + 343 + 3 + 0 + 313 = 666.

It is not a de Polignac number, because 34034330313 - 2¹ = 34034330311 is a prime.

It is a super-3 number, since 3×34034330313³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34034330311) 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, 2095131 + ... + 2111312.

It is an arithmetic number, because the mean of its divisors is an integer number (2187350880).

Almost surely, 2^34034330313 is an apocalyptic number.

It is an amenable number.

34034330313 is a deficient number, since it is larger than the sum of its proper divisors (18462090807).

34034330313 is a wasteful number, since it uses less digits than its factorization.

34034330313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206509 (or 4206506 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 34034330313 its reverse (31303343043), we get a palindrome (65337673356).

The spelling of 34034330313 in words is "thirty-four billion, thirty-four million, three hundred thirty thousand, three hundred thirteen".