352086768 has 150 divisors (see below), whose sum is σ = 1090372920. Its totient is φ = 106054080.

The previous prime is 352086743. The next prime is 352086769. The reversal of 352086768 is 867680253.

352086768 is a `hidden beast` number, since 3 + 520 + 8 + 67 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352086769) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2108221 + ... + 2108387.

Almost surely, 2^352086768 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 352086768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545186460).

352086768 is an abundant number, since it is smaller than the sum of its proper divisors (738286152).

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

352086768 is a wasteful number, since it uses less digits than its factorization.

352086768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 352086768 is about 18763.9752717808. The cubic root of 352086768 is about 706.1276776899.

The spelling of 352086768 in words is "three hundred fifty-two million, eighty-six thousand, seven hundred sixty-eight".