3966197356800 has 1728 divisors, whose sum is σ = 17254270656000. Its totient is φ = 890884915200.

The previous prime is 3966197356787. The next prime is 3966197356817. The reversal of 3966197356800 is 86537916693.

3966197356800 is a `hidden beast` number, since 3 + 9 + 6 + 61 + 9 + 7 + 3 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3615493852 + ... + 3615494948.

Almost surely, 2^{3966197356800} is an apocalyptic number.

3966197356800 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 3966197356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8627135328000).

3966197356800 is an abundant number, since it is smaller than the sum of its proper divisors (13288073299200).

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

3966197356800 is a wasteful number, since it uses less digits than its factorization.

3966197356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 3966197356800 in words is "three trillion, nine hundred sixty-six billion, one hundred ninety-seven million, three hundred fifty-six thousand, eight hundred".