34129792 has 32 divisors (see below), whose sum is σ = 70955280. Its totient is φ = 16321536.

The previous prime is 34129787. The next prime is 34129793. The reversal of 34129792 is 29792143.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34129793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2853 + ... + 8740.

Almost surely, 2^34129792 is an apocalyptic number.

34129792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34129792 is an abundant number, since it is smaller than the sum of its proper divisors (36825488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34129792 is a wasteful number, since it uses less digits than its factorization.

34129792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11630 (or 11618 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 34129792 is about 5842.0708657119. The cubic root of 34129792 is about 324.3728877589.

The spelling of 34129792 in words is "thirty-four million, one hundred twenty-nine thousand, seven hundred ninety-two".