352827360 has 384 divisors, whose sum is σ = 1332495360. Its totient is φ = 86980608.

The previous prime is 352827317. The next prime is 352827379. The reversal of 352827360 is 63728253.

352827360 is a `hidden beast` number, since 3 + 528 + 2 + 73 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5266047 + ... + 5266113.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2^352827360 is an apocalyptic number.

352827360 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 352827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666247680).

352827360 is an abundant number, since it is smaller than the sum of its proper divisors (979668000).

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

352827360 is a wasteful number, since it uses less digits than its factorization.

352827360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

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

The square root of 352827360 is about 18783.6993161624. The cubic root of 352827360 is about 706.6224290966.

The spelling of 352827360 in words is "three hundred fifty-two million, eight hundred twenty-seven thousand, three hundred sixty".