34048008 has 48 divisors (see below), whose sum is σ = 97641180. Its totient is φ = 10681344.

The previous prime is 34047983. The next prime is 34048033. The reversal of 34048008 is 80084043.

It is an interprime number because it is at equal distance from previous prime (34047983) and next prime (34048033).

It can be written as a sum of positive squares in 2 ways, for example, as 32970564 + 1077444 = 5742^2 + 1038^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12685 + ... + 15132.

Almost surely, 2^34048008 is an apocalyptic number.

It is an amenable number.

34048008 is an abundant number, since it is smaller than the sum of its proper divisors (63593172).

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

34048008 is a wasteful number, since it uses less digits than its factorization.

34048008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27846 (or 27839 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34048008 is about 5835.0670947299. The cubic root of 34048008 is about 324.1135861466.

The spelling of 34048008 in words is "thirty-four million, forty-eight thousand, eight".