34480 has 20 divisors (see below), whose sum is σ = 80352. Its totient is φ = 13760.

The previous prime is 34471. The next prime is 34483. The reversal of 34480 is 8443.

34480 = 16² + 17² + ... + 47².

34480 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (34483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136 + ... + 295.

2³⁴⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

34480 is an abundant number, since it is smaller than the sum of its proper divisors (45872).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176).

34480 is a wasteful number, since it uses less digits than its factorization.

34480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34480 is about 185.6879102150. The cubic root of 34480 is about 32.5478584846.

It can be divided in two parts, 344 and 80, that added together give a palindrome (424).

The spelling of 34480 in words is "thirty-four thousand, four hundred eighty".