3981985087500 has 864 divisors, whose sum is σ = 15506772503040. Its totient is φ = 841104000000.

The previous prime is 3981985087489. The next prime is 3981985087513. The reversal of 3981985087500 is 57805891893.

3981985087500 is a `hidden beast` number, since 39 + 8 + 1 + 98 + 5 + 0 + 8 + 7 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 613459255 + ... + 613465745.

It is an arithmetic number, because the mean of its divisors is an integer number (17947653360).

Almost surely, 2^{3981985087500} is an apocalyptic number.

3981985087500 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 3981985087500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7753386251520).

3981985087500 is an abundant number, since it is smaller than the sum of its proper divisors (11524787415540).

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

3981985087500 is a wasteful number, since it uses less digits than its factorization.

3981985087500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 3981985087500 in words is "three trillion, nine hundred eighty-one billion, nine hundred eighty-five million, eighty-seven thousand, five hundred".