352665152 has 84 divisors (see below), whose sum is σ = 822466224. Its totient is φ = 149587200.

The previous prime is 352665139. The next prime is 352665161. The reversal of 352665152 is 251566253.

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 11 ways as a sum of consecutive naturals, for example, 335027 + ... + 336077.

Almost surely, 2^352665152 is an apocalyptic number.

352665152 is a gapful number since it is divisible by the number (32) 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 352665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411233112).

352665152 is an abundant number, since it is smaller than the sum of its proper divisors (469801072).

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

352665152 is a wasteful number, since it uses less digits than its factorization.

352665152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1167 counting only the distinct ones).

The product of its digits is 54000, while the sum is 35.

The square root of 352665152 is about 18779.3810334633. The cubic root of 352665152 is about 706.5141255337.

The spelling of 352665152 in words is "three hundred fifty-two million, six hundred sixty-five thousand, one hundred fifty-two".