34640 has 20 divisors (see below), whose sum is σ = 80724. Its totient is φ = 13824.

The previous prime is 34631. The next prime is 34649. The reversal of 34640 is 4643.

It is an interprime number because it is at equal distance from previous prime (34631) and next prime (34649).

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 26896 = 88^2 + 164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137 + ... + 296.

2³⁴⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

34640 is an abundant number, since it is smaller than the sum of its proper divisors (46084).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40362).

34640 is a wasteful number, since it uses less digits than its factorization.

34640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34640 is about 186.1182419861. The cubic root of 34640 is about 32.5981255274.

The spelling of 34640 in words is "thirty-four thousand, six hundred forty".