3965697856836 has 81 divisors (see below), whose sum is σ = 10193304822519. Its totient is φ = 1299989836800.

The previous prime is 3965697856831. The next prime is 3965697856847. The reversal of 3965697856836 is 6386587965693.

The square root of 3965697856836 is 1991406.

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

3965697856836 is a `hidden beast` number, since 396 + 5 + 6 + 97 + 85 + 68 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 512790616836 + 3452907240000 = 716094^2 + 1858200^2 .

It is not an unprimeable number, because it can be changed into a prime (3965697856831) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 728851876 + ... + 728857316.

Almost surely, 2^{3965697856836} is an apocalyptic number.

3965697856836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3965697856836 is the 1991406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965697856836

3965697856836 is an abundant number, since it is smaller than the sum of its proper divisors (6227606965683).

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

3965697856836 is an frugal number, since it uses more digits than its factorization.

3965697856836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014 (or 5507 counting only the distinct ones).

The product of its digits is 10581580800, while the sum is 81.

Multiplying 3965697856836 by its sum of digits (81), we get a square (321221526403716 = 17922654²).

The spelling of 3965697856836 in words is "three trillion, nine hundred sixty-five billion, six hundred ninety-seven million, eight hundred fifty-six thousand, eight hundred thirty-six".