34960 has 40 divisors (see below), whose sum is σ = 89280. Its totient is φ = 12672.

The previous prime is 34949. The next prime is 34961. The reversal of 34960 is 6943.

34960 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (34961) by changing a digit.

34960 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 7 ways as a sum of consecutive naturals, for example, 1509 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

2³⁴⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

34960 is an abundant number, since it is smaller than the sum of its proper divisors (54320).

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

34960 is a wasteful number, since it uses less digits than its factorization.

34960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 34960 is about 186.9759342803. The cubic root of 34960 is about 32.6981971468.

It can be divided in two parts, 34 and 960, that multiplied together give a triangular number (32640 = T₂₅₅).

The spelling of 34960 in words is "thirty-four thousand, nine hundred sixty".