381278820384 has 1152 divisors, whose sum is σ = 1523181542400. Its totient is φ = 91445760000.

The previous prime is 381278820383. The next prime is 381278820407. The reversal of 381278820384 is 483028872183.

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

It is a self number, because there is not a number n which added to its sum of digits gives 381278820384.

It is not an unprimeable number, because it can be changed into a prime (381278820383) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 362776659 + ... + 362777709.

It is an arithmetic number, because the mean of its divisors is an integer number (1322206200).

Almost surely, 2^381278820384 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 381278820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761590771200).

381278820384 is an abundant number, since it is smaller than the sum of its proper divisors (1141902722016).

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

381278820384 is a wasteful number, since it uses less digits than its factorization.

381278820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 381278820384 in words is "three hundred eighty-one billion, two hundred seventy-eight million, eight hundred twenty thousand, three hundred eighty-four".