3944473533600 has 576 divisors, whose sum is σ = 13495311244800. Its totient is φ = 999539343360.

The previous prime is 3944473533587. The next prime is 3944473533619. The reversal of 3944473533600 is 63353744493.

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, 3209497786 + ... + 3209499014.

It is an arithmetic number, because the mean of its divisors is an integer number (23429359800).

Almost surely, 2^{3944473533600} is an apocalyptic number.

3944473533600 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 3944473533600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747655622400).

3944473533600 is an abundant number, since it is smaller than the sum of its proper divisors (9550837711200).

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

3944473533600 is a wasteful number, since it uses less digits than its factorization.

3944473533600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 51.

The spelling of 3944473533600 in words is "three trillion, nine hundred forty-four billion, four hundred seventy-three million, five hundred thirty-three thousand, six hundred".