382061078784 has 432 divisors, whose sum is σ = 1392254607744. Its totient is φ = 97873920000.

The previous prime is 382061078759. The next prime is 382061078849. The reversal of 382061078784 is 487870160283.

It is a happy number.

382061078784 is a `hidden beast` number, since 382 + 0 + 6 + 107 + 87 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 382061078784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12936034 + ... + 12965534.

It is an arithmetic number, because the mean of its divisors is an integer number (3222811592).

Almost surely, 2^382061078784 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 382061078784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696127303872).

382061078784 is an abundant number, since it is smaller than the sum of its proper divisors (1010193528960).

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

382061078784 is a wasteful number, since it uses less digits than its factorization.

382061078784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29614 (or 29597 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 382061078784 in words is "three hundred eighty-two billion, sixty-one million, seventy-eight thousand, seven hundred eighty-four".