3666544704 has 175 divisors, whose sum is σ = 11256957547. Its totient is φ = 1180037376.

The previous prime is 3666544699. The next prime is 3666544753. The reversal of 3666544704 is 4074456663.

It is a happy number.

The square root of 3666544704 is 60552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 3657830400 = 2952^2 + 60480^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=174.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3666544704.

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 24 ways as a sum of consecutive naturals, for example, 126432562 + ... + 126432590.

Almost surely, 2^3666544704 is an apocalyptic number.

3666544704 is the 60552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666544704

3666544704 is an abundant number, since it is smaller than the sum of its proper divisors (7590412843).

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

3666544704 is an frugal number, since it uses more digits than its factorization.

3666544704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The cubic root of 3666544704 is about 1542.0045723494.

The spelling of 3666544704 in words is "three billion, six hundred sixty-six million, five hundred forty-four thousand, seven hundred four".