3998727360000 has 1200 divisors, whose sum is σ = 14874326129520. Its totient is φ = 1033420800000.

The previous prime is 3998727359993. The next prime is 3998727360071. The reversal of 3998727360000 is 637278993.

3998727360000 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 7 + 27 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×3998727360000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17161919884 + ... + 17161920116.

Almost surely, 2^{3998727360000} is an apocalyptic number.

3998727360000 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 3998727360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437163064760).

3998727360000 is an abundant number, since it is smaller than the sum of its proper divisors (10875598769520).

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

3998727360000 is a wasteful number, since it uses less digits than its factorization.

3998727360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3998727360000 in words is "three trillion, nine hundred ninety-eight billion, seven hundred twenty-seven million, three hundred sixty thousand".