34268544 has 96 divisors (see below), whose sum is σ = 99768240. Its totient is φ = 11289600.

The previous prime is 34268543. The next prime is 34268561. The reversal of 34268544 is 44586243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34268499 and 34268508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34268543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173854 + ... + 174050.

Almost surely, 2^34268544 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 34268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49884120).

34268544 is an abundant number, since it is smaller than the sum of its proper divisors (65499696).

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

34268544 is a wasteful number, since it uses less digits than its factorization.

34268544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 34268544 is about 5853.9340618083. The cubic root of 34268544 is about 324.8118642887.

It can be divided in two parts, 342 and 68544, that added together give a palindrome (68886).

The spelling of 34268544 in words is "thirty-four million, two hundred sixty-eight thousand, five hundred forty-four".