34544 has 20 divisors (see below), whose sum is σ = 71424. Its totient is φ = 16128.

The previous prime is 34543. The next prime is 34549. The reversal of 34544 is 44543.

34544 = T₂₇ + T₂₈ + ... + T₆₀.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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 34544.

It is not an unprimeable number, because it can be changed into a prime (34543) 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, 209 + ... + 335.

2³⁴⁵⁴⁴ is an apocalyptic number.

34544 is a gapful number since it is divisible by the number (34) 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 34544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712).

34544 is an abundant number, since it is smaller than the sum of its proper divisors (36880).

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

34544 is a wasteful number, since it uses less digits than its factorization.

34544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 960, while the sum is 20.

The square root of 34544 is about 185.8601624878. The cubic root of 34544 is about 32.5679839239.

Subtracting 34544 from its reverse (44543), we obtain a palindrome (9999).

It can be divided in two parts, 34 and 544, that multiplied together give a square (18496 = 136²).

The spelling of 34544 in words is "thirty-four thousand, five hundred forty-four".