389918000 has 160 divisors (see below), whose sum is σ = 1027553280. Its totient is φ = 142560000.

The previous prime is 389917999. The next prime is 389918003. The reversal of 389918000 is 819983.

389918000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389918003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177835 + ... + 1178165.

It is an arithmetic number, because the mean of its divisors is an integer number (6422208).

Almost surely, 2^389918000 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 389918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513776640).

389918000 is an abundant number, since it is smaller than the sum of its proper divisors (637635280).

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

389918000 is a wasteful number, since it uses less digits than its factorization.

389918000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 389918000 is about 19746.3414332883. The cubic root of 389918000 is about 730.5631483664.

The spelling of 389918000 in words is "three hundred eighty-nine million, nine hundred eighteen thousand".