3965235864100 has 81 divisors (see below), whose sum is σ = 10009740118833. Its totient is φ = 1359461648160.

The previous prime is 3965235864097. The next prime is 3965235864169. The reversal of 3965235864100 is 14685325693.

The square root of 3965235864100 is 1991290.

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

3965235864100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1427484911076 + 2537750953024 = 1194774^2 + 1593032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139376077 + ... + 139404523.

Almost surely, 2^{3965235864100} is an apocalyptic number.

3965235864100 is the 1991290-th square number.

It is an amenable number.

3965235864100 is an abundant number, since it is smaller than the sum of its proper divisors (6044504254733).

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

3965235864100 is an frugal number, since it uses more digits than its factorization.

3965235864100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56922 (or 28461 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 3965235864100 in words is "three trillion, nine hundred sixty-five billion, two hundred thirty-five million, eight hundred sixty-four thousand, one hundred".