352864512 has 720 divisors, whose sum is σ = 1495815552. Its totient is φ = 79626240.

The previous prime is 352864469. The next prime is 352864517. The reversal of 352864512 is 215468253.

352864512 is a `hidden beast` number, since 3 + 5 + 2 + 8 + 645 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352864517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20756728 + ... + 20756744.

Almost surely, 2^352864512 is an apocalyptic number.

352864512 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 352864512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747907776).

352864512 is an abundant number, since it is smaller than the sum of its proper divisors (1142951040).

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

352864512 is a wasteful number, since it uses less digits than its factorization.

352864512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 352864512 is about 18784.6882327070. The cubic root of 352864512 is about 706.6472301920.

The spelling of 352864512 in words is "three hundred fifty-two million, eight hundred sixty-four thousand, five hundred twelve".