3843238144 has 144 divisors (see below), whose sum is σ = 8540453376. Its totient is φ = 1717862400.

The previous prime is 3843238123. The next prime is 3843238151. The reversal of 3843238144 is 4418323483.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3843238097 and 3843238106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8229399 + ... + 8229865.

It is an arithmetic number, because the mean of its divisors is an integer number (59308704).

Almost surely, 2^3843238144 is an apocalyptic number.

3843238144 is a gapful number since it is divisible by the number (34) 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 3843238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270226688).

3843238144 is an abundant number, since it is smaller than the sum of its proper divisors (4697215232).

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

3843238144 is a wasteful number, since it uses less digits than its factorization.

3843238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 578 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 3843238144 is about 61993.8556955445. The cubic root of 3843238144 is about 1566.3871031167.

The spelling of 3843238144 in words is "three billion, eight hundred forty-three million, two hundred thirty-eight thousand, one hundred forty-four".