382689120 has 192 divisors, whose sum is σ = 1328140800. Its totient is φ = 92618240.

The previous prime is 382689119. The next prime is 382689143. The reversal of 382689120 is 21986283.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638581 + ... + 639179.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2^382689120 is an apocalyptic number.

382689120 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 382689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664070400).

382689120 is an abundant number, since it is smaller than the sum of its proper divisors (945451680).

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

382689120 is a wasteful number, since it uses less digits than its factorization.

382689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 382689120 is about 19562.4415654079. The cubic root of 382689120 is about 726.0202014581.

The spelling of 382689120 in words is "three hundred eighty-two million, six hundred eighty-nine thousand, one hundred twenty".