3538875816100 has 81 divisors (see below), whose sum is σ = 8105628524931. Its totient is φ = 1340912232000.

The previous prime is 3538875816071. The next prime is 3538875816139. The reversal of 3538875816100 is 16185788353.

The square root of 3538875816100 is 1881190.

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 647950942116 + 2890924873984 = 804954^2 + 1700272^2 .

It is a Duffinian number.

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, 357421150 + ... + 357431050.

Almost surely, 2^{3538875816100} is an apocalyptic number.

3538875816100 is the 1881190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3538875816100

3538875816100 is an abundant number, since it is smaller than the sum of its proper divisors (4566752708831).

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

3538875816100 is an frugal number, since it uses more digits than its factorization.

3538875816100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19854 (or 9927 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 3538875816100 in words is "three trillion, five hundred thirty-eight billion, eight hundred seventy-five million, eight hundred sixteen thousand, one hundred".