381660000 has 120 divisors (see below), whose sum is σ = 1252117944. Its totient is φ = 101760000.

The previous prime is 381659989. The next prime is 381660001. The reversal of 381660000 is 66183.

381660000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381660001) 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 19 ways as a sum of consecutive naturals, for example, 56820 + ... + 63180.

Almost surely, 2^381660000 is an apocalyptic number.

381660000 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 381660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626058972).

381660000 is an abundant number, since it is smaller than the sum of its proper divisors (870457944).

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

381660000 is an equidigital number, since it uses as much as digits as its factorization.

381660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 381660000 is about 19536.1203927494. The cubic root of 381660000 is about 725.3688174982.

The spelling of 381660000 in words is "three hundred eighty-one million, six hundred sixty thousand".