381640000 has 280 divisors, whose sum is σ = 1142634240. Its totient is φ = 123648000.

The previous prime is 381639983. The next prime is 381640009. The reversal of 381640000 is 46183.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381640009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8119977 + ... + 8120023.

Almost surely, 2^381640000 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 381640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571317120).

381640000 is an abundant number, since it is smaller than the sum of its proper divisors (760994240).

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

381640000 is an equidigital number, since it uses as much as digits as its factorization.

381640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 381640000 is about 19535.6085136860. The cubic root of 381640000 is about 725.3561468579.

Adding to 381640000 its reverse (46183), we get a palindrome (381686183).

The spelling of 381640000 in words is "three hundred eighty-one million, six hundred forty thousand".