3967600000000 has 792 divisors, whose sum is σ = 12313978070240. Its totient is φ = 1244160000000.

The previous prime is 3967599999997. The next prime is 3967600000003. The reversal of 3967600000000 is 67693.

3967600000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3967599999997) and next prime (3967600000003).

It is a junction number, because it is equal to n+sod(n) for n = 3967599999899 and 3967599999908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967600000003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36399999946 + ... + 36400000054.

Almost surely, 2^{3967600000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3967600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156989035120).

3967600000000 is an abundant number, since it is smaller than the sum of its proper divisors (8346378070240).

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

3967600000000 is an frugal number, since it uses more digits than its factorization.

3967600000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

Adding to 3967600000000 its reverse (67693), we get a palindrome (3967600067693).

The spelling of 3967600000000 in words is "three trillion, nine hundred sixty-seven billion, six hundred million", and thus it is an aban number.