3744242880 has 448 divisors, whose sum is σ = 14132966400. Its totient is φ = 839344128.

The previous prime is 3744242863. The next prime is 3744242939. The reversal of 3744242880 is 882424473.

3744242880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27330172 + ... + 27330308.

It is an arithmetic number, because the mean of its divisors is an integer number (31546800).

Almost surely, 2^3744242880 is an apocalyptic number.

3744242880 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 3744242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066483200).

3744242880 is an abundant number, since it is smaller than the sum of its proper divisors (10388723520).

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

3744242880 is a wasteful number, since it uses less digits than its factorization.

3744242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 3744242880 is about 61190.2188262144. The cubic root of 3744242880 is about 1552.8207919698.

The spelling of 3744242880 in words is "three billion, seven hundred forty-four million, two hundred forty-two thousand, eight hundred eighty".