381632 has 28 divisors (see below), whose sum is σ = 777240. Its totient is φ = 185856.

The previous prime is 381631. The next prime is 381637. The reversal of 381632 is 236183.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 381598 and 381607.

It is not an unprimeable number, because it can be changed into a prime (381631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4244 + ... + 4332.

2³⁸¹⁶³² is an apocalyptic number.

381632 is a gapful number since it is divisible by the number (32) 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 381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388620).

381632 is an abundant number, since it is smaller than the sum of its proper divisors (395608).

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

381632 is an equidigital number, since it uses as much as digits as its factorization.

381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 381632 is about 617.7637088726. The cubic root of 381632 is about 72.5351078478.

The spelling of 381632 in words is "three hundred eighty-one thousand, six hundred thirty-two".