3998059909272 has 960 divisors, whose sum is σ = 13542885195840. Its totient is φ = 1094422855680.

The previous prime is 3998059909247. The next prime is 3998059909279. The reversal of 3998059909272 is 2729099508993.

3998059909272 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 0 + 599 + 0 + 9 + 27 + 2 = 666.

3998059909272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3998059909272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998059909279) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11863679088 + ... + 11863679424.

It is an arithmetic number, because the mean of its divisors is an integer number (14107172079).

Almost surely, 2^{3998059909272} 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 3998059909272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771442597920).

3998059909272 is an abundant number, since it is smaller than the sum of its proper divisors (9544825286568).

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

3998059909272 is a wasteful number, since it uses less digits than its factorization.

3998059909272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 3998059909272 in words is "three trillion, nine hundred ninety-eight billion, fifty-nine million, nine hundred nine thousand, two hundred seventy-two".