34008296 has 64 divisors (see below), whose sum is σ = 78019200. Its totient is φ = 13565952.

The previous prime is 34008287. The next prime is 34008319. The reversal of 34008296 is 69280043.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132200 + ... + 132456.

It is an arithmetic number, because the mean of its divisors is an integer number (1219050).

Almost surely, 2^34008296 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 34008296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39009600).

34008296 is an abundant number, since it is smaller than the sum of its proper divisors (44010904).

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

34008296 is a wasteful number, since it uses less digits than its factorization.

34008296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 34008296 is about 5831.6632275878. The cubic root of 34008296 is about 323.9875268276.

The spelling of 34008296 in words is "thirty-four million, eight thousand, two hundred ninety-six".