352944 has 80 divisors (see below), whose sum is σ = 1091200. Its totient is φ = 108864.

The previous prime is 352939. The next prime is 352949. The reversal of 352944 is 449253.

352944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (352939) and next prime (352949).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (352949) by changing a digit.

352944 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, 8187 + ... + 8229.

It is an arithmetic number, because the mean of its divisors is an integer number (13640).

2³⁵²⁹⁴⁴ 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 352944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545600).

352944 is an abundant number, since it is smaller than the sum of its proper divisors (738256).

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

352944 is a wasteful number, since it uses less digits than its factorization.

352944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 67 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 352944 is about 594.0909021354. The cubic root of 352944 is about 70.6700287155.

It can be divided in two parts, 352 and 944, that added together give a 4-th power (1296 = 6⁴).

The spelling of 352944 in words is "three hundred fifty-two thousand, nine hundred forty-four".