34506720 has 144 divisors (see below), whose sum is σ = 121709952. Its totient is φ = 8893440.

The previous prime is 34506713. The next prime is 34506733. The reversal of 34506720 is 2760543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44254 + ... + 45026.

It is an arithmetic number, because the mean of its divisors is an integer number (845208).

Almost surely, 2^34506720 is an apocalyptic number.

34506720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60854976).

34506720 is an abundant number, since it is smaller than the sum of its proper divisors (87203232).

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

34506720 is a wasteful number, since it uses less digits than its factorization.

34506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34506720 is about 5874.2420787707. The cubic root of 34506720 is about 325.5626388119.

The spelling of 34506720 in words is "thirty-four million, five hundred six thousand, seven hundred twenty".