3986471105100 has 1728 divisors, whose sum is σ = 15524438372352. Its totient is φ = 844038144000.

The previous prime is 3986471105087. The next prime is 3986471105101. The reversal of 3986471105100 is 15011746893.

3986471105100 is a `hidden beast` number, since 3 + 9 + 8 + 64 + 71 + 1 + 0 + 510 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3986471105101) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 20655290604 + ... + 20655290796.

It is an arithmetic number, because the mean of its divisors is an integer number (8984049984).

Almost surely, 2^{3986471105100} is an apocalyptic number.

3986471105100 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 3986471105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762219186176).

3986471105100 is an abundant number, since it is smaller than the sum of its proper divisors (11537967267252).

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

3986471105100 is a wasteful number, since it uses less digits than its factorization.

3986471105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 3986471105100 in words is "three trillion, nine hundred eighty-six billion, four hundred seventy-one million, one hundred five thousand, one hundred".