381748610880 has 1344 divisors, whose sum is σ = 1765453294080. Its totient is φ = 75806834688.

The previous prime is 381748610849. The next prime is 381748610909. The reversal of 381748610880 is 88016847183.

It is a happy number.

381748610880 is a `hidden beast` number, since 3 + 8 + 17 + 4 + 8 + 610 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22455800632 + ... + 22455800648.

It is an arithmetic number, because the mean of its divisors is an integer number (1313581320).

Almost surely, 2^381748610880 is an apocalyptic number.

381748610880 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 381748610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882726647040).

381748610880 is an abundant number, since it is smaller than the sum of its proper divisors (1383704683200).

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

381748610880 is an frugal number, since it uses more digits than its factorization.

381748610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 381748610880 in words is "three hundred eighty-one billion, seven hundred forty-eight million, six hundred ten thousand, eight hundred eighty".