3993822018432 has 640 divisors, whose sum is σ = 12787868079360. Its totient is φ = 1234265776128.

The previous prime is 3993822018427. The next prime is 3993822018449. The reversal of 3993822018432 is 2348102283993.

3993822018432 is a `hidden beast` number, since 39 + 9 + 382 + 20 + 184 + 32 = 666.

3993822018432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3993822018432² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1404790003 + ... + 1404792845.

It is an arithmetic number, because the mean of its divisors is an integer number (19981043874).

Almost surely, 2^{3993822018432} is an apocalyptic number.

3993822018432 is a gapful number since it is divisible by the number (32) 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 3993822018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393934039680).

3993822018432 is an abundant number, since it is smaller than the sum of its proper divisors (8794046060928).

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

3993822018432 is a wasteful number, since it uses less digits than its factorization.

3993822018432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3993822018432 in words is "three trillion, nine hundred ninety-three billion, eight hundred twenty-two million, eighteen thousand, four hundred thirty-two".