3966652493640 has 320 divisors, whose sum is σ = 13591489705200. Its totient is φ = 1037237280768.

The previous prime is 3966652493569. The next prime is 3966652493737. The reversal of 3966652493640 is 463942566693.

It can be written as a sum of positive squares in 8 ways, for example, as 1656878691204 + 2309773802436 = 1287198^2 + 1519794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369707796 + ... + 369718524.

Almost surely, 2^{3966652493640} is an apocalyptic number.

3966652493640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966652493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795744852600).

3966652493640 is an abundant number, since it is smaller than the sum of its proper divisors (9624837211560).

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

3966652493640 is a wasteful number, since it uses less digits than its factorization.

3966652493640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12958 (or 12945 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 3966652493640 in words is "three trillion, nine hundred sixty-six billion, six hundred fifty-two million, four hundred ninety-three thousand, six hundred forty".