34086976 has 56 divisors (see below), whose sum is σ = 84344256. Its totient is φ = 13278720.

The previous prime is 34086973. The next prime is 34086991. The reversal of 34086976 is 67968043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (34086973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470 + ... + 8386.

Almost surely, 2^34086976 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 34086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42172128).

34086976 is an abundant number, since it is smaller than the sum of its proper divisors (50257280).

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

34086976 is a wasteful number, since it uses less digits than its factorization.

34086976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6947 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 34086976 is about 5838.4052617132. The cubic root of 34086976 is about 324.2371885113.

The spelling of 34086976 in words is "thirty-four million, eighty-six thousand, nine hundred seventy-six".