3966997017600 has 396 divisors, whose sum is σ = 14821299176736. Its totient is φ = 1011870351360.

The previous prime is 3966997017569. The next prime is 3966997017647. The reversal of 3966997017600 is 67107996693.

3966997017600 is a `hidden beast` number, since 3 + 9 + 6 + 6 + 9 + 9 + 7 + 0 + 17 + 600 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 4924899 + ... + 5673501.

Almost surely, 2^{3966997017600} is an apocalyptic number.

3966997017600 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 3966997017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410649588368).

3966997017600 is an abundant number, since it is smaller than the sum of its proper divisors (10854302159136).

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

3966997017600 is a wasteful number, since it uses less digits than its factorization.

3966997017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748662 (or 748636 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 3966997017600 in words is "three trillion, nine hundred sixty-six billion, nine hundred ninety-seven million, seventeen thousand, six hundred".