381104080 has 160 divisors (see below), whose sum is σ = 1082787840. Its totient is φ = 121927680.

The previous prime is 381104077. The next prime is 381104081. The reversal of 381104080 is 80401183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381104081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503062 + ... + 503818.

It is an arithmetic number, because the mean of its divisors is an integer number (6767424).

Almost surely, 2^381104080 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 381104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541393920).

381104080 is an abundant number, since it is smaller than the sum of its proper divisors (701683760).

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

381104080 is a wasteful number, since it uses less digits than its factorization.

381104080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 381104080 is about 19521.8872038540. The cubic root of 381104080 is about 725.0164593964.

The spelling of 381104080 in words is "three hundred eighty-one million, one hundred four thousand, eighty".