34016080 has 160 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 10492416.

The previous prime is 34016041. The next prime is 34016111. The reversal of 34016080 is 8061043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244651 + ... + 244789.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^34016080 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 34016080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

34016080 is an abundant number, since it is smaller than the sum of its proper divisors (65977520).

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

34016080 is a wasteful number, since it uses less digits than its factorization.

34016080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 34016080 is about 5832.3305804798. The cubic root of 34016080 is about 324.0122436058.

The spelling of 34016080 in words is "thirty-four million, sixteen thousand, eighty".