381878875552 has 96 divisors (see below), whose sum is σ = 789451246080. Its totient is φ = 181586442240.

The previous prime is 381878875549. The next prime is 381878875571. The reversal of 381878875552 is 255578878183.

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 15 ways as a sum of consecutive naturals, for example, 93756588 + ... + 93760660.

It is an arithmetic number, because the mean of its divisors is an integer number (8223450480).

Almost surely, 2^381878875552 is an apocalyptic number.

381878875552 is a gapful number since it is divisible by the number (32) 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 381878875552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394725623040).

381878875552 is an abundant number, since it is smaller than the sum of its proper divisors (407572370528).

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

381878875552 is a wasteful number, since it uses less digits than its factorization.

381878875552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 5598 counting only the distinct ones).

The product of its digits is 150528000, while the sum is 67.

The spelling of 381878875552 in words is "three hundred eighty-one billion, eight hundred seventy-eight million, eight hundred seventy-five thousand, five hundred fifty-two".