352884096 has 192 divisors, whose sum is σ = 1106520480. Its totient is φ = 107495424.

The previous prime is 352884047. The next prime is 352884097. The reversal of 352884096 is 690488253.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352884097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724365 + ... + 724851.

Almost surely, 2^352884096 is an apocalyptic number.

352884096 is a gapful number since it is divisible by the number (36) 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 352884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553260240).

352884096 is an abundant number, since it is smaller than the sum of its proper divisors (753636384).

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

352884096 is a wasteful number, since it uses less digits than its factorization.

352884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 352884096 is about 18785.2095010942. The cubic root of 352884096 is about 706.6603029370.

The spelling of 352884096 in words is "three hundred fifty-two million, eight hundred eighty-four thousand, ninety-six".