381353568 has 96 divisors (see below), whose sum is σ = 1042513920. Its totient is φ = 121927680.

The previous prime is 381353563. The next prime is 381353569. The reversal of 381353568 is 865353183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381353563) 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 15 ways as a sum of consecutive naturals, for example, 377448 + ... + 378456.

It is an arithmetic number, because the mean of its divisors is an integer number (10859520).

Almost surely, 2^381353568 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 381353568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521256960).

381353568 is an abundant number, since it is smaller than the sum of its proper divisors (661160352).

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

381353568 is a wasteful number, since it uses less digits than its factorization.

381353568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1172 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 381353568 is about 19528.2761143937. The cubic root of 381353568 is about 725.1746344278.

The spelling of 381353568 in words is "three hundred eighty-one million, three hundred fifty-three thousand, five hundred sixty-eight".