3965165600 has 72 divisors (see below), whose sum is σ = 10559980368. Its totient is φ = 1441875200.

The previous prime is 3965165573. The next prime is 3965165609. The reversal of 3965165600 is 65615693.

It is not an unprimeable number, because it can be changed into a prime (3965165609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 216494 + ... + 234093.

It is an arithmetic number, because the mean of its divisors is an integer number (146666394).

Almost surely, 2^3965165600 is an apocalyptic number.

It is an amenable number.

3965165600 is an abundant number, since it is smaller than the sum of its proper divisors (6594814768).

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

3965165600 is a wasteful number, since it uses less digits than its factorization.

3965165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450618 (or 450605 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 41.

The square root of 3965165600 is about 62969.5609004859. The cubic root of 3965165600 is about 1582.7795968238.

The spelling of 3965165600 in words is "three billion, nine hundred sixty-five million, one hundred sixty-five thousand, six hundred".