3993185706880 has 64 divisors (see below), whose sum is σ = 9578790950400. Its totient is φ = 1591822759936.

The previous prime is 3993185706869. The next prime is 3993185706931. The reversal of 3993185706880 is 886075813993.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 10459840 + ... + 10834879.

It is an arithmetic number, because the mean of its divisors is an integer number (149668608600).

Almost surely, 2^{3993185706880} is an apocalyptic number.

It is an amenable number.

3993185706880 is an abundant number, since it is smaller than the sum of its proper divisors (5585605243520).

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

3993185706880 is a wasteful number, since it uses less digits than its factorization.

3993185706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21295031 (or 21295019 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 67.

The spelling of 3993185706880 in words is "three trillion, nine hundred ninety-three billion, one hundred eighty-five million, seven hundred six thousand, eight hundred eighty".