381040000 has 160 divisors (see below), whose sum is σ = 1037199240. Its totient is φ = 138240000.

The previous prime is 381039983. The next prime is 381040007. The reversal of 381040000 is 40183.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381040007) 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 19 ways as a sum of consecutive naturals, for example, 879784 + ... + 880216.

Almost surely, 2^381040000 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 381040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518599620).

381040000 is an abundant number, since it is smaller than the sum of its proper divisors (656159240).

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

381040000 is an equidigital number, since it uses as much as digits as its factorization.

381040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 381040000 is about 19520.2459000905. The cubic root of 381040000 is about 724.9758216273.

Adding to 381040000 its reverse (40183), we get a palindrome (381080183).

The spelling of 381040000 in words is "three hundred eighty-one million, forty thousand".