34580 has 48 divisors (see below), whose sum is σ = 94080. Its totient is φ = 10368.

The previous prime is 34549. The next prime is 34583. The reversal of 34580 is 8543.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34583) by changing a digit.

34580 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 15 ways as a sum of consecutive naturals, for example, 1811 + ... + 1829.

It is an arithmetic number, because the mean of its divisors is an integer number (1960).

2³⁴⁵⁸⁰ is an apocalyptic number.

34580 is the 152-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47040).

34580 is an abundant number, since it is smaller than the sum of its proper divisors (59500).

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

34580 is a wasteful number, since it uses less digits than its factorization.

34580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 34580 is about 185.9569842732. The cubic root of 34580 is about 32.5792935616.

The spelling of 34580 in words is "thirty-four thousand, five hundred eighty".