353832 has 32 divisors (see below), whose sum is σ = 924480. Its totient is φ = 112640.

The previous prime is 353819. The next prime is 353833. The reversal of 353832 is 238353.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (353833) 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, 232 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (28890).

2³⁵³⁸³² 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 353832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462240).

353832 is an abundant number, since it is smaller than the sum of its proper divisors (570648).

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

353832 is a wasteful number, since it uses less digits than its factorization.

353832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 353832 is about 594.8377930159. The cubic root of 353832 is about 70.7292472023.

It can be divided in two parts, 3538 and 32, that added together give a triangular number (3570 = T₈₄).

The spelling of 353832 in words is "three hundred fifty-three thousand, eight hundred thirty-two".