34529120 has 48 divisors (see below), whose sum is σ = 82818288. Its totient is φ = 13601280.

The previous prime is 34529107. The next prime is 34529123. The reversal of 34529120 is 2192543.

34529120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34529120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34529123) 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 7 ways as a sum of consecutive naturals, for example, 9110 + ... + 12330.

It is an arithmetic number, because the mean of its divisors is an integer number (1725381).

Almost surely, 2^34529120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41409144).

34529120 is an abundant number, since it is smaller than the sum of its proper divisors (48289168).

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

34529120 is a wasteful number, since it uses less digits than its factorization.

34529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 34529120 is about 5876.1483983984. The cubic root of 34529120 is about 325.6330697858.

The spelling of 34529120 in words is "thirty-four million, five hundred twenty-nine thousand, one hundred twenty".