3652563456000 has 1040 divisors, whose sum is σ = 14091457620240. Its totient is φ = 940120473600.

The previous prime is 3652563455999. The next prime is 3652563456067. The reversal of 3652563456000 is 6543652563.

3652563456000 is a `hidden beast` number, since 3 + 6 + 5 + 2 + 5 + 6 + 34 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 558116573184 + 3094446882816 = 747072^2 + 1759104^2 .

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1202686482 + ... + 1202689518.

It is an arithmetic number, because the mean of its divisors is an integer number (13549478481).

Almost surely, 2^{3652563456000} is an apocalyptic number.

3652563456000 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 3652563456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045728810120).

3652563456000 is an abundant number, since it is smaller than the sum of its proper divisors (10438894164240).

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

3652563456000 is an equidigital number, since it uses as much as digits as its factorization.

3652563456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 3652563456000 in words is "three trillion, six hundred fifty-two billion, five hundred sixty-three million, four hundred fifty-six thousand".