381132864 has 224 divisors, whose sum is σ = 1299667200. Its totient is φ = 108615168.

The previous prime is 381132859. The next prime is 381132889. The reversal of 381132864 is 468231183.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979582 + ... + 979970.

Almost surely, 2^381132864 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 381132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649833600).

381132864 is an abundant number, since it is smaller than the sum of its proper divisors (918534336).

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

381132864 is an frugal number, since it uses more digits than its factorization.

381132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 401 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 381132864 is about 19522.6244137411. The cubic root of 381132864 is about 725.0347119329.

The spelling of 381132864 in words is "three hundred eighty-one million, one hundred thirty-two thousand, eight hundred sixty-four".