34080 has 48 divisors (see below), whose sum is σ = 108864. Its totient is φ = 8960.

The previous prime is 34061. The next prime is 34123. The reversal of 34080 is 8043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34080² = 2322892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2³⁴⁰⁸⁰ is an apocalyptic number.

34080 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 34080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

34080 is an abundant number, since it is smaller than the sum of its proper divisors (74784).

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

34080 is a wasteful number, since it uses less digits than its factorization.

34080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34080 is about 184.6076921474. The cubic root of 34080 is about 32.4215068304.

The spelling of 34080 in words is "thirty-four thousand, eighty".