34530560 has 72 divisors (see below), whose sum is σ = 84437640. Its totient is φ = 13524992.

The previous prime is 34530541. The next prime is 34530563. The reversal of 34530560 is 6503543.

It can be written as a sum of positive squares in 4 ways, for example, as 11182336 + 23348224 = 3344^2 + 4832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34530563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67586 + ... + 68094.

It is an arithmetic number, because the mean of its divisors is an integer number (1172745).

Almost surely, 2^34530560 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 34530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42218820).

34530560 is an abundant number, since it is smaller than the sum of its proper divisors (49907080).

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

34530560 is an equidigital number, since it uses as much as digits as its factorization.

34530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 34530560 is about 5876.2709263614. The cubic root of 34530560 is about 325.6375964491.

The spelling of 34530560 in words is "thirty-four million, five hundred thirty thousand, five hundred sixty".