34720 has 48 divisors (see below), whose sum is σ = 96768. Its totient is φ = 11520.

The previous prime is 34703. The next prime is 34721. The reversal of 34720 is 2743.

34720 is nontrivially palindromic in base 6 and base 15.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 34694 and 34703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34721) by changing a digit.

34720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1105 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

2³⁴⁷²⁰ 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 34720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

34720 is an abundant number, since it is smaller than the sum of its proper divisors (62048).

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

34720 is a wasteful number, since it uses less digits than its factorization.

34720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 34720 is about 186.3330351816. Note that the first 3 decimals coincide. The cubic root of 34720 is about 32.6232010184.

The spelling of 34720 in words is "thirty-four thousand, seven hundred twenty".