389106432 has 216 divisors, whose sum is σ = 1319140368. Its totient is φ = 108748800.

The previous prime is 389106401. The next prime is 389106437. The reversal of 389106432 is 234601983.

389106432 is a `hidden beast` number, since 3 + 8 + 9 + 1 + 0 + 643 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (389106437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328882 + ... + 330062.

Almost surely, 2^389106432 is an apocalyptic number.

389106432 is a gapful number since it is divisible by the number (32) 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 389106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659570184).

389106432 is an abundant number, since it is smaller than the sum of its proper divisors (930033936).

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

389106432 is a wasteful number, since it uses less digits than its factorization.

389106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 389106432 is about 19725.7808970900. The cubic root of 389106432 is about 730.0559361654.

The spelling of 389106432 in words is "three hundred eighty-nine million, one hundred six thousand, four hundred thirty-two".