382641840 has 160 divisors (see below), whose sum is σ = 1506332160. Its totient is φ = 87457536.

The previous prime is 382641839. The next prime is 382641851. The reversal of 382641840 is 48146283.

382641840 is a `hidden beast` number, since 3 + 8 + 2 + 641 + 8 + 4 + 0 = 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 = 382641795 and 382641804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2467 + ... + 27773.

It is an arithmetic number, because the mean of its divisors is an integer number (9414576).

Almost surely, 2^382641840 is an apocalyptic number.

382641840 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 382641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753166080).

382641840 is an abundant number, since it is smaller than the sum of its proper divisors (1123690320).

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

382641840 is a wasteful number, since it uses less digits than its factorization.

382641840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25336 (or 25324 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 382641840 is about 19561.2330899665. The cubic root of 382641840 is about 725.9903010794.

It can be divided in two parts, 38264 and 1840, that added together give a palindrome (40104).

The spelling of 382641840 in words is "three hundred eighty-two million, six hundred forty-one thousand, eight hundred forty".