381558800 has 240 divisors, whose sum is σ = 1121832960. Its totient is φ = 121927680.

The previous prime is 381558797. The next prime is 381558839. The reversal of 381558800 is 8855183.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3004337 + ... + 3004463.

It is an arithmetic number, because the mean of its divisors is an integer number (4674304).

Almost surely, 2^381558800 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 381558800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560916480).

381558800 is an abundant number, since it is smaller than the sum of its proper divisors (740274160).

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

381558800 is a wasteful number, since it uses less digits than its factorization.

381558800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The square root of 381558800 is about 19533.5301469038. The cubic root of 381558800 is about 725.3046995106.

The spelling of 381558800 in words is "three hundred eighty-one million, five hundred fifty-eight thousand, eight hundred".