381333312 has 112 divisors (see below), whose sum is σ = 1136782080. Its totient is φ = 125328384.

The previous prime is 381333301. The next prime is 381333313. The reversal of 381333312 is 213333183.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381333313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124633 + ... + 127655.

It is an arithmetic number, because the mean of its divisors is an integer number (10149840).

Almost surely, 2^381333312 is an apocalyptic number.

381333312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568391040).

381333312 is an abundant number, since it is smaller than the sum of its proper divisors (755448768).

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

381333312 is a wasteful number, since it uses less digits than its factorization.

381333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3101 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 381333312 is about 19527.7574749381. The cubic root of 381333312 is about 725.1617947267.

Adding to 381333312 its reverse (213333183), we get a palindrome (594666495).

The spelling of 381333312 in words is "three hundred eighty-one million, three hundred thirty-three thousand, three hundred twelve".