34208720 has 160 divisors (see below), whose sum is σ = 101326848. Its totient is φ = 10450944.

The previous prime is 34208701. The next prime is 34208729. The reversal of 34208720 is 2780243.

34208720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 34208720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34208729) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 269297 + ... + 269423.

Almost surely, 2^34208720 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 34208720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50663424).

34208720 is an abundant number, since it is smaller than the sum of its proper divisors (67118128).

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

34208720 is a wasteful number, since it uses less digits than its factorization.

34208720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 34208720 is about 5848.8221036376. The cubic root of 34208720 is about 324.6227417372.

Adding to 34208720 its reverse (2780243), we get a palindrome (36988963).

The spelling of 34208720 in words is "thirty-four million, two hundred eight thousand, seven hundred twenty".