34040511135 has 24 divisors (see below), whose sum is σ = 60116831424. Its totient is φ = 17812392000.

The previous prime is 34040511079. The next prime is 34040511143. The reversal of 34040511135 is 53111504043.

It is a happy number.

It is not a de Polignac number, because 34040511135 - 2¹⁰ = 34040510111 is a prime.

It is a super-3 number, since 3×34040511135³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34040511099 and 34040511108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7133991 + ... + 7138760.

It is an arithmetic number, because the mean of its divisors is an integer number (2504867976).

Almost surely, 2^34040511135 is an apocalyptic number.

34040511135 is a deficient number, since it is larger than the sum of its proper divisors (26076320289).

34040511135 is a wasteful number, since it uses less digits than its factorization.

34040511135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14272815 (or 14272812 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 34040511135 in words is "thirty-four billion, forty million, five hundred eleven thousand, one hundred thirty-five".