384132 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 102912.

The previous prime is 384113. The next prime is 384133. The reversal of 384132 is 231483.

384132 = T₁₃₃ + T₁₃₄ + ... + T₁₆₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 384099 and 384108.

It is not an unprimeable number, because it can be changed into a prime (384133) by changing a digit.

384132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294 + ... + 1562.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³⁸⁴¹³² 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 384132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

384132 is an abundant number, since it is smaller than the sum of its proper divisors (704508).

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

384132 is a wasteful number, since it uses less digits than its factorization.

384132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 384132 is about 619.7838332838. The cubic root of 384132 is about 72.6931512285.

The spelling of 384132 in words is "three hundred eighty-four thousand, one hundred thirty-two".