34860 has 48 divisors (see below), whose sum is σ = 112896. Its totient is φ = 7872.

The previous prime is 34849. The next prime is 34871. The reversal of 34860 is 6843.

It is an interprime number because it is at equal distance from previous prime (34849) and next prime (34871).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34860.

It is an unprimeable number.

34860 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

2³⁴⁸⁶⁰ is an apocalyptic number.

34860 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 34860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448).

34860 is an abundant number, since it is smaller than the sum of its proper divisors (78036).

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

34860 is a wasteful number, since it uses less digits than its factorization.

34860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34860 is about 186.7083286841. The cubic root of 34860 is about 32.6669906026. Note that the first 3 decimals are identical.

The spelling of 34860 in words is "thirty-four thousand, eight hundred sixty".