389355120 has 320 divisors, whose sum is σ = 1672750080. Its totient is φ = 80870400.

The previous prime is 389355103. The next prime is 389355121. The reversal of 389355120 is 21553983.

389355120 is a `hidden beast` number, since 3 + 89 + 3 + 551 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389355121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165150 + ... + 167490.

It is an arithmetic number, because the mean of its divisors is an integer number (5227344).

Almost surely, 2^389355120 is an apocalyptic number.

389355120 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 389355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836375040).

389355120 is an abundant number, since it is smaller than the sum of its proper divisors (1283394960).

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

389355120 is a wasteful number, since it uses less digits than its factorization.

389355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 389355120 is about 19732.0835189799. The cubic root of 389355120 is about 730.2114355955.

The spelling of 389355120 in words is "three hundred eighty-nine million, three hundred fifty-five thousand, one hundred twenty".