352314144 has 192 divisors, whose sum is σ = 1264999680. Its totient is φ = 92897280.

The previous prime is 352314143. The next prime is 352314187. The reversal of 352314144 is 441413253.

It is a happy number.

352314144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (352314143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76384 + ... + 80864.

It is an arithmetic number, because the mean of its divisors is an integer number (6588540).

Almost surely, 2^352314144 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 352314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632499840).

352314144 is an abundant number, since it is smaller than the sum of its proper divisors (912685536).

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

352314144 is a wasteful number, since it uses less digits than its factorization.

352314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4506 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 352314144 is about 18770.0331379569. The cubic root of 352314144 is about 706.2796496389.

Adding to 352314144 its reverse (441413253), we get a palindrome (793727397).

It can be divided in two parts, 3523141 and 44, that added together give a triangular number (3523185 = T₂₆₅₄).

The spelling of 352314144 in words is "three hundred fifty-two million, three hundred fourteen thousand, one hundred forty-four".