34074560 has 56 divisors (see below), whose sum is σ = 87392256. Its totient is φ = 12579840.

The previous prime is 34074553. The next prime is 34074587. The reversal of 34074560 is 6547043.

34074560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34074560² = 2322151278387200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 65 + ... + 8255.

It is an arithmetic number, because the mean of its divisors is an integer number (1560576).

Almost surely, 2^34074560 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 34074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696128).

34074560 is an abundant number, since it is smaller than the sum of its proper divisors (53317696).

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

34074560 is a wasteful number, since it uses less digits than its factorization.

34074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 34074560 is about 5837.3418608130. The cubic root of 34074560 is about 324.1978165059.

The spelling of 34074560 in words is "thirty-four million, seventy-four thousand, five hundred sixty".