381380000 has 60 divisors (see below), whose sum is σ = 938301210. Its totient is φ = 152544000.

The previous prime is 381379987. The next prime is 381380003. The reversal of 381380000 is 83183.

It can be written as a sum of positive squares in 5 ways, for example, as 76807696 + 304572304 = 8764^2 + 17452^2 .

It is not an unprimeable number, because it can be changed into a prime (381380003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10466 + ... + 29534.

Almost surely, 2^381380000 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 381380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469150605).

381380000 is an abundant number, since it is smaller than the sum of its proper divisors (556921210).

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

381380000 is an equidigital number, since it uses as much as digits as its factorization.

381380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19099 (or 19076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 381380000 is about 19528.9528649132. The cubic root of 381380000 is about 725.1913882355.

The spelling of 381380000 in words is "three hundred eighty-one million, three hundred eighty thousand".