381133344 has 96 divisors (see below), whose sum is σ = 1045868544. Its totient is φ = 121386240.

The previous prime is 381133327. The next prime is 381133351. The reversal of 381133344 is 443331183.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246237 + ... + 247779.

It is an arithmetic number, because the mean of its divisors is an integer number (10894464).

Almost surely, 2^381133344 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 381133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522934272).

381133344 is an abundant number, since it is smaller than the sum of its proper divisors (664735200).

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

381133344 is a wasteful number, since it uses less digits than its factorization.

381133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1662 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 381133344 is about 19522.6367071664. The cubic root of 381133344 is about 725.0350163032.

The spelling of 381133344 in words is "three hundred eighty-one million, one hundred thirty-three thousand, three hundred forty-four".