34460720 has 120 divisors (see below), whose sum is σ = 95418000. Its totient is φ = 11536896.

The previous prime is 34460707. The next prime is 34460749. The reversal of 34460720 is 2706443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34460720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231206 + ... + 231354.

It is an arithmetic number, because the mean of its divisors is an integer number (795150).

Almost surely, 2^34460720 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 34460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47709000).

34460720 is an abundant number, since it is smaller than the sum of its proper divisors (60957280).

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

34460720 is a wasteful number, since it uses less digits than its factorization.

34460720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 34460720 is about 5870.3253742872. The cubic root of 34460720 is about 325.4179081530.

The spelling of 34460720 in words is "thirty-four million, four hundred sixty thousand, seven hundred twenty".