3998252793600 has 1296 divisors, whose sum is σ = 16904937827232. Its totient is φ = 926212423680.

The previous prime is 3998252793589. The next prime is 3998252793631. The reversal of 3998252793600 is 63972528993.

3998252793600 is a `hidden beast` number, since 399 + 82 + 5 + 27 + 93 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 343693384 + ... + 343705016.

Almost surely, 2^{3998252793600} is an apocalyptic number.

3998252793600 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 3998252793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8452468913616).

3998252793600 is an abundant number, since it is smaller than the sum of its proper divisors (12906685033632).

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

3998252793600 is a wasteful number, since it uses less digits than its factorization.

3998252793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704 (or 11673 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 3998252793600 in words is "three trillion, nine hundred ninety-eight billion, two hundred fifty-two million, seven hundred ninety-three thousand, six hundred".