352905984 has 252 divisors, whose sum is σ = 1108109632. Its totient is φ = 111974400.

The previous prime is 352905977. The next prime is 352905989. The reversal of 352905984 is 489509253.

352905984 is a `hidden beast` number, since 3 + 52 + 9 + 0 + 598 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (352905989) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5785314 + ... + 5785374.

Almost surely, 2^352905984 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 352905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554054816).

352905984 is an abundant number, since it is smaller than the sum of its proper divisors (755203648).

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

352905984 is an frugal number, since it uses more digits than its factorization.

352905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 352905984 is about 18785.7920780573. The cubic root of 352905984 is about 706.6749130797.

The spelling of 352905984 in words is "three hundred fifty-two million, nine hundred five thousand, nine hundred eighty-four".