381792 has 48 divisors (see below), whose sum is σ = 1037232. Its totient is φ = 122880.

The previous prime is 381791. The next prime is 381793. The reversal of 381792 is 297183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (381791) and next prime (381793).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3888 + ... + 3984.

It is an arithmetic number, because the mean of its divisors is an integer number (21609).

2³⁸¹⁷⁹² is an apocalyptic number.

381792 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 381792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518616).

381792 is an abundant number, since it is smaller than the sum of its proper divisors (655440).

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

381792 is a wasteful number, since it uses less digits than its factorization.

381792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 381792 is about 617.8931946542. The cubic root of 381792 is about 72.5452432625.

It can be divided in two parts, 38 and 1792, that added together give a triangular number (1830 = T₆₀).

The spelling of 381792 in words is "three hundred eighty-one thousand, seven hundred ninety-two".