352320192 has 420 divisors, whose sum is σ = 1296360120. Its totient is φ = 94058496.

The previous prime is 352320191. The next prime is 352320193. The reversal of 352320192 is 291023253.

352320192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (352320191) and next prime (352320193).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352320191) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4826268 + ... + 4826340.

Almost surely, 2^352320192 is an apocalyptic number.

352320192 is a gapful number since it is divisible by the number (32) 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 352320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648180060).

352320192 is an abundant number, since it is smaller than the sum of its proper divisors (944039928).

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

352320192 is a wasteful number, since it uses less digits than its factorization.

352320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 352320192 is about 18770.1942451324. The cubic root of 352320192 is about 706.2836910651.

The spelling of 352320192 in words is "three hundred fifty-two million, three hundred twenty thousand, one hundred ninety-two".