34129530 has 48 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 8888544.

The previous prime is 34129499. The next prime is 34129531. The reversal of 34129530 is 3592143.

34129530 is a `hidden beast` number, since 3 + 4 + 129 + 530 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34129494 and 34129503.

It is not an unprimeable number, because it can be changed into a prime (34129531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540 + ... + 8279.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^34129530 is an apocalyptic number.

34129530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34129530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405360).

34129530 is an abundant number, since it is smaller than the sum of its proper divisors (56681190).

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

34129530 is a wasteful number, since it uses less digits than its factorization.

34129530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34129530 is about 5842.0484421134. The cubic root of 34129530 is about 324.3720577322.

The spelling of 34129530 in words is "thirty-four million, one hundred twenty-nine thousand, five hundred thirty".