34443144 has 80 divisors (see below), whose sum is σ = 100710720. Its totient is φ = 10977120.

The previous prime is 34443137. The next prime is 34443161. The reversal of 34443144 is 44134443.

34443144 is a `hidden beast` number, since 344 + 4 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13749 + ... + 16059.

It is an arithmetic number, because the mean of its divisors is an integer number (1258884).

Almost surely, 2^34443144 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 34443144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50355360).

34443144 is an abundant number, since it is smaller than the sum of its proper divisors (66267576).

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

34443144 is a wasteful number, since it uses less digits than its factorization.

34443144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2339 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 34443144 is about 5868.8281624188. The cubic root of 34443144 is about 325.3625744493.

Adding to 34443144 its reverse (44134443), we get a palindrome (78577587).

The spelling of 34443144 in words is "thirty-four million, four hundred forty-three thousand, one hundred forty-four".