3665973696 has 448 divisors, whose sum is σ = 13171261440. Its totient is φ = 870912000.

The previous prime is 3665973691. The next prime is 3665973697. The reversal of 3665973696 is 6963795663.

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (33067440) is a multiple of the sum of its prime factors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3665973691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8707566 + ... + 8707986.

Almost surely, 2^3665973696 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 3665973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585630720).

3665973696 is an abundant number, since it is smaller than the sum of its proper divisors (9505287744).

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

3665973696 is a wasteful number, since it uses less digits than its factorization.

3665973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its digits is 33067440, while the sum is 60.

The square root of 3665973696 is about 60547.2847946132. The cubic root of 3665973696 is about 1541.9245203540.

The spelling of 3665973696 in words is "three billion, six hundred sixty-five million, nine hundred seventy-three thousand, six hundred ninety-six".