352563648 has 56 divisors (see below), whose sum is σ = 946781952. Its totient is φ = 115762944.

The previous prime is 352563641. The next prime is 352563689. The reversal of 352563648 is 846365253.

It is a super-2 number, since 2×352563648² = 248602251782135808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352563641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 840 + ... + 26567.

Almost surely, 2^352563648 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 352563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473390976).

352563648 is an abundant number, since it is smaller than the sum of its proper divisors (594218304).

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

352563648 is a wasteful number, since it uses less digits than its factorization.

352563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27489 (or 27479 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 352563648 is about 18776.6783004875. The cubic root of 352563648 is about 706.4463361205.

The spelling of 352563648 in words is "three hundred fifty-two million, five hundred sixty-three thousand, six hundred forty-eight".