3984930727488 has 280 divisors, whose sum is σ = 12161560343328. Its totient is φ = 1289447921664.

The previous prime is 3984930727487. The next prime is 3984930727507. The reversal of 3984930727488 is 8847270394893.

3984930727488 is a `hidden beast` number, since 3 + 9 + 8 + 49 + 30 + 72 + 7 + 488 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3984930727483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36279820 + ... + 36389492.

Almost surely, 2^{3984930727488} 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 3984930727488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080780171664).

3984930727488 is an abundant number, since it is smaller than the sum of its proper divisors (8176629615840).

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

3984930727488 is a wasteful number, since it uses less digits than its factorization.

3984930727488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109903 (or 109884 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 3984930727488 in words is "three trillion, nine hundred eighty-four billion, nine hundred thirty million, seven hundred twenty-seven thousand, four hundred eighty-eight".