352732968 has 288 divisors, whose sum is σ = 1207752000. Its totient is φ = 96399072.

The previous prime is 352732943. The next prime is 352732993. The reversal of 352732968 is 869237253.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

352732968 is a `hidden beast` number, since 3 + 527 + 32 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (352732943) and next prime (352732993).

Its product of digits (544320) is a multiple of the sum of its prime divisors (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15336205 + ... + 15336227.

Almost surely, 2^352732968 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 352732968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603876000).

352732968 is an abundant number, since it is smaller than the sum of its proper divisors (855019032).

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

352732968 is an equidigital number, since it uses as much as digits as its factorization.

352732968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 352732968 is about 18781.1865439860. The cubic root of 352732968 is about 706.5594091792.

The spelling of 352732968 in words is "three hundred fifty-two million, seven hundred thirty-two thousand, nine hundred sixty-eight".