3606446088000 has 1344 divisors, whose sum is σ = 15638800320000. Its totient is φ = 774962380800.

The previous prime is 3606446087939. The next prime is 3606446088001. The reversal of 3606446088000 is 8806446063.

3606446088000 is a `hidden beast` number, since 36 + 0 + 6 + 4 + 4 + 608 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3606446088001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1311910626 + ... + 1311913374.

Almost surely, 2^{3606446088000} is an apocalyptic number.

3606446088000 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 3606446088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819400160000).

3606446088000 is an abundant number, since it is smaller than the sum of its proper divisors (12032354232000).

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

3606446088000 is a wasteful number, since it uses less digits than its factorization.

3606446088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3606446088000 in words is "three trillion, six hundred six billion, four hundred forty-six million, eighty-eight thousand".