34208768 has 44 divisors (see below), whose sum is σ = 74625432. Its totient is φ = 15544320.

The previous prime is 34208767. The next prime is 34208773. The reversal of 34208768 is 86780243.

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34208767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9746 + ... + 12782.

Almost surely, 2^34208768 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 34208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37312716).

34208768 is an abundant number, since it is smaller than the sum of its proper divisors (40416664).

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

34208768 is a wasteful number, since it uses less digits than its factorization.

34208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 34208768 is about 5848.8262070265. The cubic root of 34208768 is about 324.6228935688.

It can be divided in two parts, 34 and 208768, that added together give a palindrome (208802).

The spelling of 34208768 in words is "thirty-four million, two hundred eight thousand, seven hundred sixty-eight".