34585480 has 64 divisors (see below), whose sum is σ = 83144880. Its totient is φ = 12902400.

The previous prime is 34585477. The next prime is 34585511. The reversal of 34585480 is 8458543.

It is a happy number.

34585480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11410884 + 23174596 = 3378^2 + 4814^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122940 + ... + 123220.

Almost surely, 2^34585480 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 34585480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41572440).

34585480 is an abundant number, since it is smaller than the sum of its proper divisors (48559400).

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

34585480 is a wasteful number, since it uses less digits than its factorization.

34585480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 34585480 is about 5880.9421013984. The cubic root of 34585480 is about 325.8101445128.

The spelling of 34585480 in words is "thirty-four million, five hundred eighty-five thousand, four hundred eighty".