3744444288 has 128 divisors (see below), whose sum is σ = 10736046720. Its totient is φ = 1149474816.

The previous prime is 3744444287. The next prime is 3744444299. The reversal of 3744444288 is 8824444473.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744444281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4127931 + ... + 4128837.

It is an arithmetic number, because the mean of its divisors is an integer number (83875365).

Almost surely, 2^3744444288 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 3744444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368023360).

3744444288 is an abundant number, since it is smaller than the sum of its proper divisors (6991602432).

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

3744444288 is a wasteful number, since it uses less digits than its factorization.

3744444288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1752 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 48.

The square root of 3744444288 is about 61191.8645573086. The cubic root of 3744444288 is about 1552.8486342628.

The spelling of 3744444288 in words is "three billion, seven hundred forty-four million, four hundred forty-four thousand, two hundred eighty-eight".