382840344 has 80 divisors (see below), whose sum is σ = 1078110000. Its totient is φ = 126923328.

The previous prime is 382840343. The next prime is 382840361. The reversal of 382840344 is 443048283.

382840344 is a `hidden beast` number, since 38 + 284 + 0 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 382840299 and 382840308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382840343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126157 + ... + 129155.

It is an arithmetic number, because the mean of its divisors is an integer number (13476375).

Almost surely, 2^382840344 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 382840344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539055000).

382840344 is an abundant number, since it is smaller than the sum of its proper divisors (695269656).

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

382840344 is a wasteful number, since it uses less digits than its factorization.

382840344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 382840344 is about 19566.3063453479. The cubic root of 382840344 is about 726.1158206039.

The spelling of 382840344 in words is "three hundred eighty-two million, eight hundred forty thousand, three hundred forty-four".