389817344 has 132 divisors (see below), whose sum is σ = 961901676. Its totient is φ = 156893184.

The previous prime is 389817331. The next prime is 389817349. The reversal of 389817344 is 443718983.

It can be written as a sum of positive squares in 2 ways, for example, as 321126400 + 68690944 = 17920^2 + 8288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389817349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 852764 + ... + 853220.

Almost surely, 2^389817344 is an apocalyptic number.

389817344 is a gapful number since it is divisible by the number (34) 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 389817344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480950838).

389817344 is an abundant number, since it is smaller than the sum of its proper divisors (572084332).

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

389817344 is a wasteful number, since it uses less digits than its factorization.

389817344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 483 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 389817344 is about 19743.7925434806. The cubic root of 389817344 is about 730.5002788290.

The spelling of 389817344 in words is "three hundred eighty-nine million, eight hundred seventeen thousand, three hundred forty-four".