3986241748992 has 576 divisors, whose sum is σ = 12281881893120. Its totient is φ = 1276850995200.

The previous prime is 3986241748991. The next prime is 3986241748999. The reversal of 3986241748992 is 2998471426893.

3986241748992 is a `hidden beast` number, since 3 + 9 + 86 + 2 + 417 + 48 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 3986241748992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986241748991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12043026267 + ... + 12043026597.

It is an arithmetic number, because the mean of its divisors is an integer number (21322711620).

Almost surely, 2^{3986241748992} is an apocalyptic number.

3986241748992 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 3986241748992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140940946560).

3986241748992 is an abundant number, since it is smaller than the sum of its proper divisors (8295640144128).

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

3986241748992 is an frugal number, since it uses more digits than its factorization.

3986241748992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 460 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 3986241748992 in words is "three trillion, nine hundred eighty-six billion, two hundred forty-one million, seven hundred forty-eight thousand, nine hundred ninety-two".