389432344800 has 576 divisors, whose sum is σ = 1365152624640. Its totient is φ = 96132096000.

The previous prime is 389432344799. The next prime is 389432344853. The reversal of 389432344800 is 8443234983.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 389432344800.

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, 531285234 + ... + 531285966.

It is an arithmetic number, because the mean of its divisors is an integer number (2370056640).

Almost surely, 2^389432344800 is an apocalyptic number.

389432344800 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 389432344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682576312320).

389432344800 is an abundant number, since it is smaller than the sum of its proper divisors (975720279840).

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

389432344800 is a wasteful number, since it uses less digits than its factorization.

389432344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 389432344800 in words is "three hundred eighty-nine billion, four hundred thirty-two million, three hundred forty-four thousand, eight hundred".