3969013993200 has 180 divisors, whose sum is σ = 13789297366728. Its totient is φ = 1057196044800.

The previous prime is 3969013993177. The next prime is 3969013993211. The reversal of 3969013993200 is 23993109693.

It is a happy number.

3969013993200 is a `hidden beast` number, since 396 + 90 + 139 + 9 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2528635 + ... + 3785765.

Almost surely, 2^{3969013993200} is an apocalyptic number.

3969013993200 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 3969013993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894648683364).

3969013993200 is an abundant number, since it is smaller than the sum of its proper divisors (9820283373528).

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

3969013993200 is a wasteful number, since it uses less digits than its factorization.

3969013993200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258032 (or 1258018 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The spelling of 3969013993200 in words is "three trillion, nine hundred sixty-nine billion, thirteen million, nine hundred ninety-three thousand, two hundred".