352849392 has 240 divisors, whose sum is σ = 1198732800. Its totient is φ = 99066240.

The previous prime is 352849381. The next prime is 352849423. The reversal of 352849392 is 293948253.

It is a happy number.

352849392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1672167 + ... + 1672377.

It is an arithmetic number, because the mean of its divisors is an integer number (4994720).

Almost surely, 2^352849392 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 352849392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599366400).

352849392 is an abundant number, since it is smaller than the sum of its proper divisors (845883408).

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

352849392 is a wasteful number, since it uses less digits than its factorization.

352849392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 352849392 is about 18784.2857729539. The cubic root of 352849392 is about 706.6371369331.

The spelling of 352849392 in words is "three hundred fifty-two million, eight hundred forty-nine thousand, three hundred ninety-two".