3871828181520 has 800 divisors, whose sum is σ = 14647133460960. Its totient is φ = 942257111040.

The previous prime is 3871828181497. The next prime is 3871828181581. The reversal of 3871828181520 is 251818281783.

3871828181520 is a `hidden beast` number, since 3 + 8 + 7 + 18 + 28 + 1 + 81 + 520 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 921692162304 + 2950136019216 = 960048^2 + 1717596^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3003745036 + ... + 3003746324.

Almost surely, 2^{3871828181520} is an apocalyptic number.

3871828181520 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 3871828181520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7323566730480).

3871828181520 is an abundant number, since it is smaller than the sum of its proper divisors (10775305279440).

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

3871828181520 is a wasteful number, since it uses less digits than its factorization.

3871828181520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 3871828181520 in words is "three trillion, eight hundred seventy-one billion, eight hundred twenty-eight million, one hundred eighty-one thousand, five hundred twenty".