379632 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 114880.

The previous prime is 379607. The next prime is 379633. The reversal of 379632 is 236973.

Added to its reverse (236973) it gives a triangular number (616605 = T₁₁₁₀).

It is a happy number.

379632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3⁷ + 7⁴ + 6⁵ + 9⁵ + 3¹¹ + 2¹⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 379632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379633) 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, 169 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2³⁷⁹⁶³² 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 379632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

379632 is an abundant number, since it is smaller than the sum of its proper divisors (691728).

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

379632 is a wasteful number, since it uses less digits than its factorization.

379632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 379632 is about 616.1428405816. The cubic root of 379632 is about 72.4081754654.

Adding to 379632 its reverse (236973), we get a triangular number (616605 = T₁₁₁₀).

It can be divided in two parts, 3796 and 32, that added together give a triangular number (3828 = T₈₇).

The spelling of 379632 in words is "three hundred seventy-nine thousand, six hundred thirty-two".