389835438768 has 320 divisors, whose sum is σ = 1191542784000. Its totient is φ = 121684260096.

The previous prime is 389835438767. The next prime is 389835438779. The reversal of 389835438768 is 867834538983.

It is a happy number.

389835438768 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 3 + 543 + 8 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 389835438696 and 389835438705.

It is not an unprimeable number, because it can be changed into a prime (389835438767) 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, 382566163 + ... + 382567181.

It is an arithmetic number, because the mean of its divisors is an integer number (3723571200).

Almost surely, 2^389835438768 is an apocalyptic number.

389835438768 is a gapful number since it is divisible by the number (38) 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 389835438768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595771392000).

389835438768 is an abundant number, since it is smaller than the sum of its proper divisors (801707345232).

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

389835438768 is a wasteful number, since it uses less digits than its factorization.

389835438768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1537 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 389835438768 in words is "three hundred eighty-nine billion, eight hundred thirty-five million, four hundred thirty-eight thousand, seven hundred sixty-eight".