389444316800 has 576 divisors, whose sum is σ = 1274066936640. Its totient is φ = 116095795200.

The previous prime is 389444316797. The next prime is 389444316829. The reversal of 389444316800 is 8613444983.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 71 ways as a sum of consecutive naturals, for example, 39665492 + ... + 39675308.

It is an arithmetic number, because the mean of its divisors is an integer number (2211921765).

Almost surely, 2^389444316800 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 389444316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637033468320).

389444316800 is an abundant number, since it is smaller than the sum of its proper divisors (884622619840).

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

389444316800 is a wasteful number, since it uses less digits than its factorization.

389444316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 389444316800 in words is "three hundred eighty-nine billion, four hundred forty-four million, three hundred sixteen thousand, eight hundred".