352113216 has 168 divisors, whose sum is σ = 1167505920. Its totient is φ = 92832768.

The previous prime is 352113193. The next prime is 352113217. The reversal of 352113216 is 612311253.

It is a tau number, because it is divible by the number of its divisors (168).

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 (352113217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120865 + ... + 123743.

It is an arithmetic number, because the mean of its divisors is an integer number (6949440).

Almost surely, 2^352113216 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 352113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583752960).

352113216 is an abundant number, since it is smaller than the sum of its proper divisors (815392704).

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

352113216 is a wasteful number, since it uses less digits than its factorization.

352113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2904 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 352113216 is about 18764.6800132590. The cubic root of 352113216 is about 706.1453581775.

Adding to 352113216 its reverse (612311253), we get a palindrome (964424469).

The spelling of 352113216 in words is "three hundred fifty-two million, one hundred thirteen thousand, two hundred sixteen".