381319200 has 216 divisors, whose sum is σ = 1356381936. Its totient is φ = 100800000.

The previous prime is 381319199. The next prime is 381319201. The reversal of 381319200 is 2913183.

381319200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381319199) and next prime (381319201).

It is not an unprimeable number, because it can be changed into a prime (381319201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1519075 + ... + 1519325.

It is an arithmetic number, because the mean of its divisors is an integer number (6279546).

Almost surely, 2^381319200 is an apocalyptic number.

381319200 is a gapful number since it is divisible by the number (30) 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 381319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678190968).

381319200 is an abundant number, since it is smaller than the sum of its proper divisors (975062736).

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

381319200 is a wasteful number, since it uses less digits than its factorization.

381319200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 381319200 is about 19527.3961397827. The cubic root of 381319200 is about 725.1528492633.

The spelling of 381319200 in words is "three hundred eighty-one million, three hundred nineteen thousand, two hundred".