389316800 has 84 divisors (see below), whose sum is σ = 976250016. Its totient is φ = 152755200.

The previous prime is 389316787. The next prime is 389316871. The reversal of 389316800 is 8613983.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82505 + ... + 87095.

It is an arithmetic number, because the mean of its divisors is an integer number (11622024).

Almost surely, 2^389316800 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 389316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488125008).

389316800 is an abundant number, since it is smaller than the sum of its proper divisors (586933216).

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

389316800 is a wasteful number, since it uses less digits than its factorization.

389316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 389316800 is about 19731.1124876425. The cubic root of 389316800 is about 730.1874792133.

The spelling of 389316800 in words is "three hundred eighty-nine million, three hundred sixteen thousand, eight hundred".