382131840 has 128 divisors (see below), whose sum is σ = 1260230400. Its totient is φ = 98373632.

The previous prime is 382131839. The next prime is 382131851. The reversal of 382131840 is 48131283.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 382131798 and 382131807.

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, 52249 + ... + 59111.

It is an arithmetic number, because the mean of its divisors is an integer number (9845550).

Almost surely, 2^382131840 is an apocalyptic number.

382131840 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 382131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630115200).

382131840 is an abundant number, since it is smaller than the sum of its proper divisors (878098560).

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

382131840 is a wasteful number, since it uses less digits than its factorization.

382131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6914 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 382131840 is about 19548.1927553419. The cubic root of 382131840 is about 725.6676149244.

The spelling of 382131840 in words is "three hundred eighty-two million, one hundred thirty-one thousand, eight hundred forty".