34036720 has 80 divisors (see below), whose sum is σ = 86780160. Its totient is φ = 12357632.

The previous prime is 34036699. The next prime is 34036721. The reversal of 34036720 is 2763043.

34036720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34036721) 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 15 ways as a sum of consecutive naturals, for example, 39009 + ... + 39871.

It is an arithmetic number, because the mean of its divisors is an integer number (1084752).

Almost surely, 2^34036720 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 34036720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43390080).

34036720 is an abundant number, since it is smaller than the sum of its proper divisors (52743440).

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

34036720 is a wasteful number, since it uses less digits than its factorization.

34036720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 34036720 is about 5834.0997591745. The cubic root of 34036720 is about 324.0777641924.

Adding to 34036720 its reverse (2763043), we get a palindrome (36799763).

The spelling of 34036720 in words is "thirty-four million, thirty-six thousand, seven hundred twenty".