389368800 has 216 divisors, whose sum is σ = 1407566160. Its totient is φ = 101222400.

The previous prime is 389368783. The next prime is 389368813. The reversal of 389368800 is 8863983.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294541 + ... + 295859.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510).

Almost surely, 2^389368800 is an apocalyptic number.

389368800 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 389368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703783080).

389368800 is an abundant number, since it is smaller than the sum of its proper divisors (1018197360).

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

389368800 is a wasteful number, since it uses less digits than its factorization.

389368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 389368800 is about 19732.4301595115. The cubic root of 389368800 is about 730.2199874932.

The spelling of 389368800 in words is "three hundred eighty-nine million, three hundred sixty-eight thousand, eight hundred".