34135530 has 128 divisors (see below), whose sum is σ = 98461440. Its totient is φ = 7464960.

The previous prime is 34135529. The next prime is 34135531. The reversal of 34135530 is 3553143.

It is a happy number.

34135530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34135529) and next prime (34135531).

It is a self number, because there is not a number n which added to its sum of digits gives 34135530.

It is not an unprimeable number, because it can be changed into a prime (34135531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313116 + ... + 313224.

It is an arithmetic number, because the mean of its divisors is an integer number (769230).

Almost surely, 2^34135530 is an apocalyptic number.

34135530 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 34135530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49230720).

34135530 is an abundant number, since it is smaller than the sum of its proper divisors (64325910).

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

34135530 is a wasteful number, since it uses less digits than its factorization.

34135530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 34135530 is about 5842.5619380542. The cubic root of 34135530 is about 324.3910649117.

Adding to 34135530 its reverse (3553143), we get a palindrome (37688673).

The spelling of 34135530 in words is "thirty-four million, one hundred thirty-five thousand, five hundred thirty".