34380 has 36 divisors (see below), whose sum is σ = 104832. Its totient is φ = 9120.

The previous prime is 34369. The next prime is 34381. The reversal of 34380 is 8343.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (2912).

2³⁴³⁸⁰ is an apocalyptic number.

34380 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 34380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416).

34380 is an abundant number, since it is smaller than the sum of its proper divisors (70452).

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

34380 is a wasteful number, since it uses less digits than its factorization.

34380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34380 is about 185.4184456843. The cubic root of 34380 is about 32.5163625693.

It can be divided in two parts, 34 and 380, that added together give a palindrome (414).

The spelling of 34380 in words is "thirty-four thousand, three hundred eighty".