3744243360 has 1152 divisors, whose sum is σ = 16892064000. Its totient is φ = 766402560.

The previous prime is 3744243311. The next prime is 3744243397. The reversal of 3744243360 is 633424473.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129111826 + ... + 129111854.

It is an arithmetic number, because the mean of its divisors is an integer number (14663250).

Almost surely, 2^3744243360 is an apocalyptic number.

3744243360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3744243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446032000).

3744243360 is an abundant number, since it is smaller than the sum of its proper divisors (13147820640).

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

3744243360 is a wasteful number, since it uses less digits than its factorization.

3744243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The square root of 3744243360 is about 61190.2227484097. Note that the first 3 decimals coincide. The cubic root of 3744243360 is about 1552.8208583253.

The spelling of 3744243360 in words is "three billion, seven hundred forty-four million, two hundred forty-three thousand, three hundred sixty".