389784800 has 72 divisors (see below), whose sum is σ = 961563456. Its totient is φ = 154275840.

The previous prime is 389784779. The next prime is 389784839. The reversal of 389784800 is 8487983.

It is a super-2 number, since 2×389784800² = 303864380622080000, which contains 22 as substring.

It is a congruent number.

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, 75089 + ... + 80111.

It is an arithmetic number, because the mean of its divisors is an integer number (13355048).

Almost surely, 2^389784800 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 389784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480781728).

389784800 is an abundant number, since it is smaller than the sum of its proper divisors (571778656).

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

389784800 is a wasteful number, since it uses less digits than its factorization.

389784800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 389784800 is about 19742.9683685103. The cubic root of 389784800 is about 730.4799495962.

The spelling of 389784800 in words is "three hundred eighty-nine million, seven hundred eighty-four thousand, eight hundred".