352672224 has 96 divisors (see below), whose sum is σ = 979776000. Its totient is φ = 110767104.

The previous prime is 352672223. The next prime is 352672241. The reversal of 352672224 is 422276253.

352672224 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 (96).

It is a super-2 number, since 2×352672224² = 248755395162212352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352672223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435532 + ... + 436340.

It is an arithmetic number, because the mean of its divisors is an integer number (10206000).

Almost surely, 2^352672224 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 352672224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

352672224 is an abundant number, since it is smaller than the sum of its proper divisors (627103776).

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

352672224 is a wasteful number, since it uses less digits than its factorization.

352672224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 352672224 is about 18779.5693241352. The cubic root of 352672224 is about 706.5188480819.

The spelling of 352672224 in words is "three hundred fifty-two million, six hundred seventy-two thousand, two hundred twenty-four".