382707120 has 320 divisors, whose sum is σ = 1349913600. Its totient is φ = 89210880.

The previous prime is 382707119. The next prime is 382707131. The reversal of 382707120 is 21707283.

382707120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4300036 + ... + 4300124.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^382707120 is an apocalyptic number.

382707120 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 382707120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

382707120 is an abundant number, since it is smaller than the sum of its proper divisors (967206480).

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

382707120 is a wasteful number, since it uses less digits than its factorization.

382707120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 382707120 is about 19562.9016252702. The cubic root of 382707120 is about 726.0315842037.

The spelling of 382707120 in words is "three hundred eighty-two million, seven hundred seven thousand, one hundred twenty".