744841344 has 128 divisors (see below), whose sum is σ = 2243102400. Its totient is φ = 217092096.

The previous prime is 744841343. The next prime is 744841373. The reversal of 744841344 is 443148447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (744841343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90922 + ... + 98774.

Almost surely, 2^744841344 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 744841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121551200).

744841344 is an abundant number, since it is smaller than the sum of its proper divisors (1498261056).

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

744841344 is a wasteful number, since it uses less digits than its factorization.

744841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7890 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 744841344 is about 27291.7816201141. The cubic root of 744841344 is about 906.4724132092.

The spelling of 744841344 in words is "seven hundred forty-four million, eight hundred forty-one thousand, three hundred forty-four".