3844003968 has 192 divisors, whose sum is σ = 13050385920. Its totient is φ = 1062789120.

The previous prime is 3844003949. The next prime is 3844003973. The reversal of 3844003968 is 8693004483.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242296 + ... + 257672.

It is an arithmetic number, because the mean of its divisors is an integer number (67970760).

Almost surely, 2^3844003968 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 3844003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525192960).

3844003968 is an abundant number, since it is smaller than the sum of its proper divisors (9206381952).

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

3844003968 is a wasteful number, since it uses less digits than its factorization.

3844003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15435 (or 15420 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3844003968 is about 62000.0319999917. The cubic root of 3844003968 is about 1566.4911384052.

The spelling of 3844003968 in words is "three billion, eight hundred forty-four million, three thousand, nine hundred sixty-eight".