381517668 has 96 divisors (see below), whose sum is σ = 1149093120. Its totient is φ = 107205120.

The previous prime is 381517667. The next prime is 381517673. The reversal of 381517668 is 866715183.

It is not an unprimeable number, because it can be changed into a prime (381517667) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41980 + ... + 50252.

It is an arithmetic number, because the mean of its divisors is an integer number (11969720).

Almost surely, 2^381517668 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 381517668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574546560).

381517668 is an abundant number, since it is smaller than the sum of its proper divisors (767575452).

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

381517668 is a wasteful number, since it uses less digits than its factorization.

381517668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8346 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 381517668 is about 19532.4772622420. The cubic root of 381517668 is about 725.2786359830.

The spelling of 381517668 in words is "three hundred eighty-one million, five hundred seventeen thousand, six hundred sixty-eight".