3666225024 has 512 divisors, whose sum is σ = 14100480000. Its totient is φ = 909342720.

The previous prime is 3666225011. The next prime is 3666225067. The reversal of 3666225024 is 4205226663.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3666225024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6120277 + ... + 6120875.

It is an arithmetic number, because the mean of its divisors is an integer number (27540000).

Almost surely, 2^3666225024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240000).

3666225024 is an abundant number, since it is smaller than the sum of its proper divisors (10434254976).

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

3666225024 is a wasteful number, since it uses less digits than its factorization.

3666225024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3666225024 is about 60549.3602278340. The cubic root of 3666225024 is about 1541.9597560997.

The spelling of 3666225024 in words is "three billion, six hundred sixty-six million, two hundred twenty-five thousand, twenty-four".