3844608768 has 432 divisors, whose sum is σ = 14892224256. Its totient is φ = 921231360.

The previous prime is 3844608737. The next prime is 3844608841. The reversal of 3844608768 is 8678064483.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2305471 + ... + 2307137.

Almost surely, 2^3844608768 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 3844608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446112128).

3844608768 is an abundant number, since it is smaller than the sum of its proper divisors (11047615488).

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

3844608768 is a wasteful number, since it uses less digits than its factorization.

3844608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 3844608768 is about 62004.9092249960. The cubic root of 3844608768 is about 1566.5732892185.

The spelling of 3844608768 in words is "three billion, eight hundred forty-four million, six hundred eight thousand, seven hundred sixty-eight".