34644 has 12 divisors (see below), whose sum is σ = 80864. Its totient is φ = 11544.

The previous prime is 34631. The next prime is 34649. The reversal of 34644 is 44643.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 34644.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34644.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1432 + ... + 1455.

2³⁴⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

34644 is an abundant number, since it is smaller than the sum of its proper divisors (46220).

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 (40432).

34644 is a wasteful number, since it uses less digits than its factorization.

34644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2892 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 34644 is about 186.1289875328. The cubic root of 34644 is about 32.5993802183.

Subtracting 34644 from its reverse (44643), we obtain a palindrome (9999).

The spelling of 34644 in words is "thirty-four thousand, six hundred forty-four".