381180800 has 576 divisors, whose sum is σ = 1362569040. Its totient is φ = 103219200.

The previous prime is 381180799. The next prime is 381180809. The reversal of 381180800 is 8081183.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381180809) 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 71 ways as a sum of consecutive naturals, for example, 22422392 + ... + 22422408.

Almost surely, 2^381180800 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 381180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681284520).

381180800 is an abundant number, since it is smaller than the sum of its proper divisors (981388240).

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

381180800 is a wasteful number, since it uses less digits than its factorization.

381180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 381180800 is about 19523.8520789316. The cubic root of 381180800 is about 725.0651071138.

It can be divided in two parts, 381 and 180800, that added together give a palindrome (181181).

The spelling of 381180800 in words is "three hundred eighty-one million, one hundred eighty thousand, eight hundred".