3967545394176 has 704 divisors, whose sum is σ = 13899340922880. Its totient is φ = 977650974720.

The previous prime is 3967545394151. The next prime is 3967545394229. The reversal of 3967545394176 is 6714935457693.

It is a self number, because there is not a number n which added to its sum of digits gives 3967545394176.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251309355 + ... + 251325141.

Almost surely, 2^{3967545394176} 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 3967545394176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949670461440).

3967545394176 is an abundant number, since it is smaller than the sum of its proper divisors (9931795528704).

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

3967545394176 is a wasteful number, since it uses less digits than its factorization.

3967545394176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15890 (or 15872 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 69.

The spelling of 3967545394176 in words is "three trillion, nine hundred sixty-seven billion, five hundred forty-five million, three hundred ninety-four thousand, one hundred seventy-six".