352287360 has 512 divisors, whose sum is σ = 1395360000. Its totient is φ = 83607552.

The previous prime is 352287349. The next prime is 352287367. The reversal of 352287360 is 63782253.

352287360 is a `hidden beast` number, since 3 + 522 + 8 + 73 + 60 = 666.

It is a super-3 number, since 3×352287360³ (a number of 27 digits) contains 333 as substring.

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 (352287367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9521262 + ... + 9521298.

Almost surely, 2^352287360 is an apocalyptic number.

352287360 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 352287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680000).

352287360 is an abundant number, since it is smaller than the sum of its proper divisors (1043072640).

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

352287360 is a wasteful number, since it uses less digits than its factorization.

352287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 352287360 is about 18769.3196467000. The cubic root of 352287360 is about 706.2617513381.

The spelling of 352287360 in words is "three hundred fifty-two million, two hundred eighty-seven thousand, three hundred sixty".