3998547535104 has 216 divisors, whose sum is σ = 11983106815680. Its totient is φ = 1329803993088.

The previous prime is 3998547535091. The next prime is 3998547535109. The reversal of 3998547535104 is 4015357458993.

3998547535104 is a `hidden beast` number, since 3 + 9 + 9 + 85 + 4 + 7 + 535 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×3998547535104³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998547535109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27236104 + ... + 27382520.

Almost surely, 2^{3998547535104} 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 3998547535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991553407840).

3998547535104 is an abundant number, since it is smaller than the sum of its proper divisors (7984559280576).

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

3998547535104 is an equidigital number, since it uses as much as digits as its factorization.

3998547535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146887 (or 146861 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 3998547535104 in words is "three trillion, nine hundred ninety-eight billion, five hundred forty-seven million, five hundred thirty-five thousand, one hundred four".