382321779840 has 3072 divisors, whose sum is σ = 1960248729600. Its totient is φ = 67881369600.

The previous prime is 382321779797. The next prime is 382321779859. The reversal of 382321779840 is 48977123283.

382321779840 is a `hidden beast` number, since 382 + 3 + 2 + 177 + 98 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12332960625 + ... + 12332960655.

It is an arithmetic number, because the mean of its divisors is an integer number (638101800).

Almost surely, 2^382321779840 is an apocalyptic number.

382321779840 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 382321779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980124364800).

382321779840 is an abundant number, since it is smaller than the sum of its proper divisors (1577926949760).

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

382321779840 is a wasteful number, since it uses less digits than its factorization.

382321779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 382321779840 in words is "three hundred eighty-two billion, three hundred twenty-one million, seven hundred seventy-nine thousand, eight hundred forty".