381040800 has 288 divisors, whose sum is σ = 1458156672. Its totient is φ = 84602880.

The previous prime is 381040789. The next prime is 381040813. The reversal of 381040800 is 8040183.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 621294 + ... + 621906.

It is an arithmetic number, because the mean of its divisors is an integer number (5063044).

Almost surely, 2^381040800 is an apocalyptic number.

381040800 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 381040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729078336).

381040800 is an abundant number, since it is smaller than the sum of its proper divisors (1077115872).

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

381040800 is a wasteful number, since it uses less digits than its factorization.

381040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 381040800 is about 19520.2663916249. The cubic root of 381040800 is about 724.9763289933.

Adding to 381040800 its reverse (8040183), we get a palindrome (389080983).

The spelling of 381040800 in words is "three hundred eighty-one million, forty thousand, eight hundred".