34980 has 48 divisors (see below), whose sum is σ = 108864. Its totient is φ = 8320.

The previous prime is 34963. The next prime is 34981. The reversal of 34980 is 8943.

34980 is a nontrivial binomial coefficient, being equal to C(265, 2).

It is a d-powerful number, because it can be written as 3⁷ + 4² + 9 + 8⁵ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 34980.

It is not an unprimeable number, because it can be changed into a prime (34981) by changing a digit.

34980 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, 634 + ... + 686.

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

2³⁴⁹⁸⁰ is an apocalyptic number.

34980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34980 is the 264-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

34980 is an abundant number, since it is smaller than the sum of its proper divisors (73884).

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

34980 is a wasteful number, since it uses less digits than its factorization.

34980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 34980 is about 187.0294094521. The cubic root of 34980 is about 32.7044313122.

The spelling of 34980 in words is "thirty-four thousand, nine hundred eighty".