3993716890800 has 1200 divisors, whose sum is σ = 17748596017152. Its totient is φ = 837481420800.

The previous prime is 3993716890739. The next prime is 3993716890831. The reversal of 3993716890800 is 80986173993.

3993716890800 is a `hidden beast` number, since 399 + 3 + 7 + 168 + 9 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×3993716890800² (a number of 26 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 492378745 + ... + 492386855.

Almost surely, 2^{3993716890800} is an apocalyptic number.

3993716890800 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 3993716890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874298008576).

3993716890800 is an abundant number, since it is smaller than the sum of its proper divisors (13754879126352).

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

3993716890800 is a wasteful number, since it uses less digits than its factorization.

3993716890800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 3993716890800 in words is "three trillion, nine hundred ninety-three billion, seven hundred sixteen million, eight hundred ninety thousand, eight hundred".