34399100 has 36 divisors (see below), whose sum is σ = 75078528. Its totient is φ = 13680000.

The previous prime is 34399087. The next prime is 34399111. The reversal of 34399100 is 199343.

34399100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18200 + ... + 20000.

Almost surely, 2^34399100 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 34399100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37539264).

34399100 is an abundant number, since it is smaller than the sum of its proper divisors (40679428).

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

34399100 is a wasteful number, since it uses less digits than its factorization.

34399100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 34399100 is about 5865.0745945810. The cubic root of 34399100 is about 325.2238300320.

The spelling of 34399100 in words is "thirty-four million, three hundred ninety-nine thousand, one hundred".