3844968624000 has 768 divisors, whose sum is σ = 15850713340800. Its totient is φ = 874959667200.

The previous prime is 3844968623999. The next prime is 3844968624067. The reversal of 3844968624000 is 4268694483.

3844968624000 is a `hidden beast` number, since 3 + 8 + 4 + 4 + 9 + 6 + 8 + 624 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230823672 + ... + 230840328.

Almost surely, 2^{3844968624000} is an apocalyptic number.

3844968624000 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 3844968624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925356670400).

3844968624000 is an abundant number, since it is smaller than the sum of its proper divisors (12005744716800).

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

3844968624000 is a wasteful number, since it uses less digits than its factorization.

3844968624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16928 (or 16903 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3844968624000 in words is "three trillion, eight hundred forty-four billion, nine hundred sixty-eight million, six hundred twenty-four thousand".