381341664 has 216 divisors, whose sum is σ = 1233925056. Its totient is φ = 111513600.

The previous prime is 381341659. The next prime is 381341699. The reversal of 381341664 is 466143183.

It is a happy number.

381341664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1080112 + ... + 1080464.

It is an arithmetic number, because the mean of its divisors is an integer number (5712616).

Almost surely, 2^381341664 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 381341664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616962528).

381341664 is an abundant number, since it is smaller than the sum of its proper divisors (852583392).

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

381341664 is a wasteful number, since it uses less digits than its factorization.

381341664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 381341664 is about 19527.9713232071. The cubic root of 381341664 is about 725.1670888765.

The spelling of 381341664 in words is "three hundred eighty-one million, three hundred forty-one thousand, six hundred sixty-four".