381193344 has 192 divisors, whose sum is σ = 1309312800. Its totient is φ = 108864000.

The previous prime is 381193303. The next prime is 381193349. The reversal of 381193344 is 443391183.

It is a tau number, because it is divible by the number of its divisors (192).

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 junction number, because it is equal to n+sod(n) for n = 381193299 and 381193308.

It is not an unprimeable number, because it can be changed into a prime (381193349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168219 + ... + 170469.

Almost surely, 2^381193344 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 381193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654656400).

381193344 is an abundant number, since it is smaller than the sum of its proper divisors (928119456).

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

381193344 is a wasteful number, since it uses less digits than its factorization.

381193344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2263 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 381193344 is about 19524.1733243689. The cubic root of 381193344 is about 725.0730605722.

The spelling of 381193344 in words is "three hundred eighty-one million, one hundred ninety-three thousand, three hundred forty-four".