3993407889408 has 840 divisors, whose sum is σ = 13960579213152. Its totient is φ = 1134201470976.

The previous prime is 3993407889407. The next prime is 3993407889421. The reversal of 3993407889408 is 8049887043993.

3993407889408 is a `hidden beast` number, since 39 + 9 + 3 + 40 + 78 + 89 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3993407889407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8551194391 + ... + 8551194857.

Almost surely, 2^{3993407889408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993407889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980289606576).

3993407889408 is an abundant number, since it is smaller than the sum of its proper divisors (9967171323744).

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

3993407889408 is an equidigital number, since it uses as much as digits as its factorization.

3993407889408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 3993407889408 in words is "three trillion, nine hundred ninety-three billion, four hundred seven million, eight hundred eighty-nine thousand, four hundred eight".