34117629 has 32 divisors (see below), whose sum is σ = 57200640. Its totient is φ = 17606592.

The previous prime is 34117627. The next prime is 34117667. The reversal of 34117629 is 92671143.

It is not a de Polignac number, because 34117629 - 2¹ = 34117627 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34117629.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34117621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11502 + ... + 14160.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^34117629 is an apocalyptic number.

34117629 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34117629 is a deficient number, since it is larger than the sum of its proper divisors (23083011).

34117629 is a wasteful number, since it uses less digits than its factorization.

34117629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729.

The product of its digits is 9072, while the sum is 33.

The square root of 34117629 is about 5841.0297893437. The cubic root of 34117629 is about 324.3343503993.

The spelling of 34117629 in words is "thirty-four million, one hundred seventeen thousand, six hundred twenty-nine".