352224180 has 384 divisors, whose sum is σ = 1405071360. Its totient is φ = 71124480.

The previous prime is 352224179. The next prime is 352224253. The reversal of 352224180 is 81422253.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1787842 + ... + 1788038.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^352224180 is an apocalyptic number.

352224180 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 352224180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702535680).

352224180 is an abundant number, since it is smaller than the sum of its proper divisors (1052847180).

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

352224180 is a wasteful number, since it uses less digits than its factorization.

352224180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 352224180 is about 18767.6365054314. The cubic root of 352224180 is about 706.2195279619.

The spelling of 352224180 in words is "three hundred fifty-two million, two hundred twenty-four thousand, one hundred eighty".