3805444896000 has 576 divisors, whose sum is σ = 13813127258112. Its totient is φ = 920908800000.

The previous prime is 3805444895963. The next prime is 3805444896017. The reversal of 3805444896000 is 6984445083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666333145 + ... + 666338855.

It is an arithmetic number, because the mean of its divisors is an integer number (23981123712).

Almost surely, 2^{3805444896000} is an apocalyptic number.

3805444896000 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 3805444896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906563629056).

3805444896000 is an abundant number, since it is smaller than the sum of its proper divisors (10007682362112).

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

3805444896000 is a wasteful number, since it uses less digits than its factorization.

3805444896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 3805444896000 in words is "three trillion, eight hundred five billion, four hundred forty-four million, eight hundred ninety-six thousand".