381318816 has 24 divisors (see below), whose sum is σ = 1000962144. Its totient is φ = 127106240.

The previous prime is 381318799. The next prime is 381318841. The reversal of 381318816 is 618813183.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1985940 + ... + 1986131.

It is an arithmetic number, because the mean of its divisors is an integer number (41706756).

Almost surely, 2^381318816 is an apocalyptic number.

It is an amenable number.

381318816 is an abundant number, since it is smaller than the sum of its proper divisors (619643328).

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

381318816 is a wasteful number, since it uses less digits than its factorization.

381318816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972084 (or 3972076 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 381318816 is about 19527.3863074401. The cubic root of 381318816 is about 725.1526058463.

The spelling of 381318816 in words is "three hundred eighty-one million, three hundred eighteen thousand, eight hundred sixteen".