352144320 has 112 divisors (see below), whose sum is σ = 1219736448. Its totient is φ = 85365760.

The previous prime is 352144319. The next prime is 352144321. The reversal of 352144320 is 23441253.

It is an interprime number because it is at equal distance from previous prime (352144319) and next prime (352144321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352144321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6114 + ... + 27233.

It is an arithmetic number, because the mean of its divisors is an integer number (10890504).

Almost surely, 2^352144320 is an apocalyptic number.

352144320 is a gapful number since it is divisible by the number (30) 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 352144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609868224).

352144320 is an abundant number, since it is smaller than the sum of its proper divisors (867592128).

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

352144320 is a wasteful number, since it uses less digits than its factorization.

352144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33378 (or 33368 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 352144320 is about 18765.5087860681. The cubic root of 352144320 is about 706.1661500682.

Adding to 352144320 its reverse (23441253), we get a palindrome (375585573).

The spelling of 352144320 in words is "three hundred fifty-two million, one hundred forty-four thousand, three hundred twenty".