352338168 has 128 divisors (see below), whose sum is σ = 1121702400. Its totient is φ = 89703936.

The previous prime is 352338149. The next prime is 352338191. The reversal of 352338168 is 861833253.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60555 + ... + 66117.

It is an arithmetic number, because the mean of its divisors is an integer number (8763300).

Almost surely, 2^352338168 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 352338168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560851200).

352338168 is an abundant number, since it is smaller than the sum of its proper divisors (769364232).

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

352338168 is a wasteful number, since it uses less digits than its factorization.

352338168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5617 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 352338168 is about 18770.6730832967. The cubic root of 352338168 is about 706.2957028090.

It can be divided in two parts, 35 and 2338168, that added together give a triangular number (2338203 = T₂₁₆₂).

The spelling of 352338168 in words is "three hundred fifty-two million, three hundred thirty-eight thousand, one hundred sixty-eight".