3563352000 has 784 divisors, whose sum is σ = 14551834752. Its totient is φ = 858470400.

The previous prime is 3563351989. The next prime is 3563352029. The reversal of 3563352000 is 2533653.

3563352000 is a `hidden beast` number, since 3 + 5 + 633 + 5 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 75815977 + ... + 75816023.

Almost surely, 2^3563352000 is an apocalyptic number.

3563352000 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 3563352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275917376).

3563352000 is an abundant number, since it is smaller than the sum of its proper divisors (10988482752).

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

3563352000 is an equidigital number, since it uses as much as digits as its factorization.

3563352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 3563352000 is about 59693.8187754813. The cubic root of 3563352000 is about 1527.4004299527.

Adding to 3563352000 its reverse (2533653), we get a palindrome (3565885653).

The spelling of 3563352000 in words is "three billion, five hundred sixty-three million, three hundred fifty-two thousand".