34399008 has 144 divisors (see below), whose sum is σ = 113533056. Its totient is φ = 9676800.

The previous prime is 34398989. The next prime is 34399019. The reversal of 34399008 is 80099343.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227733 + ... + 227883.

It is an arithmetic number, because the mean of its divisors is an integer number (788424).

Almost surely, 2^34399008 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 34399008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56766528).

34399008 is an abundant number, since it is smaller than the sum of its proper divisors (79134048).

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

34399008 is a wasteful number, since it uses less digits than its factorization.

34399008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34399008 is about 5865.0667515383. The cubic root of 34399008 is about 325.2235400960.

The spelling of 34399008 in words is "thirty-four million, three hundred ninety-nine thousand, eight".