34313720 has 128 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 11289600.

The previous prime is 34313717. The next prime is 34313731. The reversal of 34313720 is 2731343.

It is a happy number.

34313720 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 31 ways as a sum of consecutive naturals, for example, 562490 + ... + 562550.

It is an arithmetic number, because the mean of its divisors is an integer number (732375).

Almost surely, 2^34313720 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 34313720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

34313720 is an abundant number, since it is smaller than the sum of its proper divisors (59430280).

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

34313720 is a wasteful number, since it uses less digits than its factorization.

34313720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 34313720 is about 5857.7913926667. The cubic root of 34313720 is about 324.9545340738.

The spelling of 34313720 in words is "thirty-four million, three hundred thirteen thousand, seven hundred twenty".