352144080 has 240 divisors, whose sum is σ = 1234920960. Its totient is φ = 89856000.

The previous prime is 352144021. The next prime is 352144087. The reversal of 352144080 is 80441253.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352144087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2332005 + ... + 2332155.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^352144080 is an apocalyptic number.

352144080 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 352144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617460480).

352144080 is an abundant number, since it is smaller than the sum of its proper divisors (882776880).

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

352144080 is a wasteful number, since it uses less digits than its factorization.

352144080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

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

The square root of 352144080 is about 18765.5023913563. The cubic root of 352144080 is about 706.1659896417.

The spelling of 352144080 in words is "three hundred fifty-two million, one hundred forty-four thousand, eighty".