3966438694464 has 315 divisors, whose sum is σ = 11902775099787. Its totient is φ = 1306038235392.

The previous prime is 3966438694447. The next prime is 3966438694513. The reversal of 3966438694464 is 4644968346693.

The square root of 3966438694464 is 1991592.

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

3966438694464 is a `hidden beast` number, since 3 + 9 + 66 + 43 + 8 + 69 + 4 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3966438694392 and 3966438694401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19931852637 + ... + 19931852835.

Almost surely, 2^{3966438694464} is an apocalyptic number.

3966438694464 is the 1991592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966438694464

3966438694464 is an abundant number, since it is smaller than the sum of its proper divisors (7936336405323).

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

3966438694464 is an frugal number, since it uses more digits than its factorization.

3966438694464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 343 counting only the distinct ones).

The product of its digits is 1934917632, while the sum is 72.

The spelling of 3966438694464 in words is "three trillion, nine hundred sixty-six billion, four hundred thirty-eight million, six hundred ninety-four thousand, four hundred sixty-four".