3986761099608 has 256 divisors, whose sum is σ = 12686692608000. Its totient is φ = 1136350881792.

The previous prime is 3986761099537. The next prime is 3986761099631. The reversal of 3986761099608 is 8069901676893.

3986761099608 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 7 + 6 + 1 + 0 + 9 + 9 + 608 = 666.

3986761099608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3986761099608³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1514150260 + ... + 1514152892.

It is an arithmetic number, because the mean of its divisors is an integer number (49557393000).

Almost surely, 2^{3986761099608} 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 3986761099608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343346304000).

3986761099608 is an abundant number, since it is smaller than the sum of its proper divisors (8699931508392).

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

3986761099608 is a wasteful number, since it uses less digits than its factorization.

3986761099608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 3986761099608 in words is "three trillion, nine hundred eighty-six billion, seven hundred sixty-one million, ninety-nine thousand, six hundred eight".