4165344 has 60 divisors (see below), whose sum is σ = 12257784. Its totient is φ = 1387584.

The previous prime is 4165339. The next prime is 4165361. The reversal of 4165344 is 4435614.

4165344 is a `hidden beast` number, since 4 + 1 + 653 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1789 + ... + 3395.

Almost surely, 2^4165344 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 4165344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128892).

4165344 is an abundant number, since it is smaller than the sum of its proper divisors (8092440).

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

4165344 is a wasteful number, since it uses less digits than its factorization.

4165344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1612 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4165344 is about 2040.9174407604. The cubic root of 4165344 is about 160.8978686906.

The spelling of 4165344 in words is "four million, one hundred sixty-five thousand, three hundred forty-four".