389716800 has 336 divisors, whose sum is σ = 1429414464. Its totient is φ = 92928000.

The previous prime is 389716793. The next prime is 389716843. The reversal of 389716800 is 8617983.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6388770 + ... + 6388830.

Almost surely, 2^389716800 is an apocalyptic number.

389716800 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 389716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714707232).

389716800 is an abundant number, since it is smaller than the sum of its proper divisors (1039697664).

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

389716800 is a wasteful number, since it uses less digits than its factorization.

389716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 389716800 is about 19741.2461612736. The cubic root of 389716800 is about 730.4374684413.

The spelling of 389716800 in words is "three hundred eighty-nine million, seven hundred sixteen thousand, eight hundred".