382711120 has 80 divisors (see below), whose sum is σ = 1002078720. Its totient is φ = 134668800.

The previous prime is 382711081. The next prime is 382711139. The reversal of 382711120 is 21117283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20266 + ... + 34294.

It is an arithmetic number, because the mean of its divisors is an integer number (12525984).

Almost surely, 2^382711120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382711120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501039360).

382711120 is an abundant number, since it is smaller than the sum of its proper divisors (619367600).

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

382711120 is a wasteful number, since it uses less digits than its factorization.

382711120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14084 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 382711120 is about 19563.0038593259. The cubic root of 382711120 is about 726.0341136543.

The spelling of 382711120 in words is "three hundred eighty-two million, seven hundred eleven thousand, one hundred twenty".