3993398138664 has 192 divisors, whose sum is σ = 11905680384000. Its totient is φ = 1199168530560.

The previous prime is 3993398138627. The next prime is 3993398138747. The reversal of 3993398138664 is 4668318933993.

It is a happy number.

3993398138664 is a `hidden beast` number, since 3 + 9 + 93 + 398 + 13 + 86 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3993398138592 and 3993398138601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86378547 + ... + 86424765.

It is an arithmetic number, because the mean of its divisors is an integer number (62008752000).

Almost surely, 2^{3993398138664} 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 3993398138664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952840192000).

3993398138664 is an abundant number, since it is smaller than the sum of its proper divisors (7912282245336).

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

3993398138664 is a wasteful number, since it uses less digits than its factorization.

3993398138664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47228 (or 47221 counting only the distinct ones).

The product of its digits is 544195584, while the sum is 72.

The spelling of 3993398138664 in words is "three trillion, nine hundred ninety-three billion, three hundred ninety-eight million, one hundred thirty-eight thousand, six hundred sixty-four".