352897968 has 80 divisors (see below), whose sum is σ = 969687936. Its totient is φ = 110208000.

The previous prime is 352897921. The next prime is 352897969. The reversal of 352897968 is 869798253.

It is not an unprimeable number, because it can be changed into a prime (352897969) 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, 203955 + ... + 205677.

Almost surely, 2^352897968 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 352897968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484843968).

352897968 is an abundant number, since it is smaller than the sum of its proper divisors (616789968).

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

352897968 is a wasteful number, since it uses less digits than its factorization.

352897968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1996 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The square root of 352897968 is about 18785.5787241171. The cubic root of 352897968 is about 706.6695625054.

The spelling of 352897968 in words is "three hundred fifty-two million, eight hundred ninety-seven thousand, nine hundred sixty-eight".