3871567816900 has 81 divisors (see below), whose sum is σ = 9773291024679. Its totient is φ = 1327347456960.

The previous prime is 3871567816861. The next prime is 3871567816951. The reversal of 3871567816900 is 96187651783.

The square root of 3871567816900 is 1967630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2255048829124 + 1616518987776 = 1501682^2 + 1271424^2 .

It is a super-2 number, since 2×3871567816900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 137720046 + ... + 137748154.

Almost surely, 2^{3871567816900} is an apocalyptic number.

3871567816900 is the 1967630-th square number.

It is an amenable number.

3871567816900 is an abundant number, since it is smaller than the sum of its proper divisors (5901723207779).

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

3871567816900 is an frugal number, since it uses more digits than its factorization.

3871567816900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56246 (or 28123 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 61.

The spelling of 3871567816900 in words is "three trillion, eight hundred seventy-one billion, five hundred sixty-seven million, eight hundred sixteen thousand, nine hundred".