3564748800 has 270 divisors, whose sum is σ = 12782537768. Its totient is φ = 949616640.

The previous prime is 3564748799. The next prime is 3564748841. The reversal of 3564748800 is 88474653.

3564748800 is a `hidden beast` number, since 3 + 564 + 7 + 4 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3685917 + ... + 3686883.

Almost surely, 2^3564748800 is an apocalyptic number.

3564748800 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 3564748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391268884).

3564748800 is an abundant number, since it is smaller than the sum of its proper divisors (9217788968).

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

3564748800 is an equidigital number, since it uses as much as digits as its factorization.

3564748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3564748800 is about 59705.5173329903. The cubic root of 3564748800 is about 1527.5999793483.

The spelling of 3564748800 in words is "three billion, five hundred sixty-four million, seven hundred forty-eight thousand, eight hundred".