34342560 has 144 divisors (see below), whose sum is σ = 133975296. Its totient is φ = 7847424.

The previous prime is 34342541. The next prime is 34342577. The reversal of 34342560 is 6524343.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34342560² = 2358822854707200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8377 + ... + 11783.

It is an arithmetic number, because the mean of its divisors is an integer number (930384).

Almost surely, 2^34342560 is an apocalyptic number.

34342560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66987648).

34342560 is an abundant number, since it is smaller than the sum of its proper divisors (99632736).

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

34342560 is a wasteful number, since it uses less digits than its factorization.

34342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34342560 is about 5860.2525542847. The cubic root of 34342560 is about 325.0455478569.

The spelling of 34342560 in words is "thirty-four million, three hundred forty-two thousand, five hundred sixty".