352647360 has 168 divisors, whose sum is σ = 1306403280. Its totient is φ = 86796288.

The previous prime is 352647341. The next prime is 352647367. The reversal of 352647360 is 63746253.

352647360 is a `hidden beast` number, since 3 + 5 + 2 + 647 + 3 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (352647367) 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 23 ways as a sum of consecutive naturals, for example, 32731 + ... + 42149.

It is an arithmetic number, because the mean of its divisors is an integer number (7776210).

Almost surely, 2^352647360 is an apocalyptic number.

352647360 is a gapful number since it is divisible by the number (30) 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 352647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653201640).

352647360 is an abundant number, since it is smaller than the sum of its proper divisors (953755920).

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

352647360 is a wasteful number, since it uses less digits than its factorization.

352647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9455 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 352647360 is about 18778.9073164548. The cubic root of 352647360 is about 706.5022440926.

It can be divided in two parts, 35264 and 7360, that added together give a palindrome (42624).

The spelling of 352647360 in words is "three hundred fifty-two million, six hundred forty-seven thousand, three hundred sixty".