34686096 has 80 divisors (see below), whose sum is σ = 95797440. Its totient is φ = 10782720.

The previous prime is 34686053. The next prime is 34686097. The reversal of 34686096 is 69068643.

It is not an unprimeable number, because it can be changed into a prime (34686097) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66316 + ... + 66836.

It is an arithmetic number, because the mean of its divisors is an integer number (1197468).

Almost surely, 2^34686096 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 34686096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47898720).

34686096 is an abundant number, since it is smaller than the sum of its proper divisors (61111344).

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

34686096 is a wasteful number, since it uses less digits than its factorization.

34686096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 34686096 is about 5889.4903005269. The cubic root of 34686096 is about 326.1257873325.

The spelling of 34686096 in words is "thirty-four million, six hundred eighty-six thousand, ninety-six".