352185120 has 144 divisors (see below), whose sum is σ = 1373561280. Its totient is φ = 80497152.

The previous prime is 352185089. The next prime is 352185133. The reversal of 352185120 is 21581253.

It is a happy number.

352185120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7390 + ... + 27549.

It is an arithmetic number, because the mean of its divisors is an integer number (9538620).

Almost surely, 2^352185120 is an apocalyptic number.

352185120 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 352185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686780640).

352185120 is an abundant number, since it is smaller than the sum of its proper divisors (1021376160).

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

352185120 is a wasteful number, since it uses less digits than its factorization.

352185120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34967 (or 34956 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 352185120 is about 18766.5958554022. The cubic root of 352185120 is about 706.1934215255.

The spelling of 352185120 in words is "three hundred fifty-two million, one hundred eighty-five thousand, one hundred twenty".