3840072144 has 80 divisors (see below), whose sum is σ = 10108942272. Its totient is φ = 1255855104.

The previous prime is 3840072127. The next prime is 3840072169. The reversal of 3840072144 is 4412700483.

3840072144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3840072144² = 29492308142249513472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687507 + ... + 693069.

Almost surely, 2^3840072144 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 3840072144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054471136).

3840072144 is an abundant number, since it is smaller than the sum of its proper divisors (6268870128).

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

3840072144 is a wasteful number, since it uses less digits than its factorization.

3840072144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 3840072144 is about 61968.3156459815. The cubic root of 3840072144 is about 1565.9568631496.

The spelling of 3840072144 in words is "three billion, eight hundred forty million, seventy-two thousand, one hundred forty-four".