34135629 has 16 divisors (see below), whose sum is σ = 50396160. Its totient is φ = 20378160.

The previous prime is 34135627. The next prime is 34135691. The reversal of 34135629 is 92653143.

It is not a de Polignac number, because 34135629 - 2¹ = 34135627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 34135629.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5509 + ... + 9930.

It is an arithmetic number, because the mean of its divisors is an integer number (3149760).

Almost surely, 2^34135629 is an apocalyptic number.

It is an amenable number.

34135629 is a deficient number, since it is larger than the sum of its proper divisors (16260531).

34135629 is a wasteful number, since it uses less digits than its factorization.

34135629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15520.

The product of its digits is 19440, while the sum is 33.

The square root of 34135629 is about 5842.5704103588. The cubic root of 34135629 is about 324.3913785115.

The spelling of 34135629 in words is "thirty-four million, one hundred thirty-five thousand, six hundred twenty-nine".