34208664 has 96 divisors (see below), whose sum is σ = 104788800. Its totient is φ = 9253440.

The previous prime is 34208651. The next prime is 34208677. The reversal of 34208664 is 46680243.

34208664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34208651) and next prime (34208677).

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 23 ways as a sum of consecutive naturals, for example, 21579 + ... + 23109.

It is an arithmetic number, because the mean of its divisors is an integer number (1091550).

Almost surely, 2^34208664 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 34208664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52394400).

34208664 is an abundant number, since it is smaller than the sum of its proper divisors (70580136).

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

34208664 is a wasteful number, since it uses less digits than its factorization.

34208664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 34208664 is about 5848.8173163470. The cubic root of 34208664 is about 324.6225646003.

The spelling of 34208664 in words is "thirty-four million, two hundred eight thousand, six hundred sixty-four".