34009686 has 64 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 10711008.

The previous prime is 34009649. The next prime is 34009693. The reversal of 34009686 is 68690043.

It is a self number, because there is not a number n which added to its sum of digits gives 34009686.

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, 172540 + ... + 172736.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 2^34009686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34009686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

34009686 is an abundant number, since it is smaller than the sum of its proper divisors (45823914).

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

34009686 is a wasteful number, since it uses less digits than its factorization.

34009686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34009686 is about 5831.7824033481. The cubic root of 34009686 is about 323.9919408146.

The spelling of 34009686 in words is "thirty-four million, nine thousand, six hundred eighty-six".