3638846195776 has 189 divisors, whose sum is σ = 8109357833703. Its totient is φ = 1618845296640.

The previous prime is 3638846195771. The next prime is 3638846195807. The reversal of 3638846195776 is 6775916488363.

The square root of 3638846195776 is 1907576.

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 1569207182400 + 2069639013376 = 1252680^2 + 1438624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3638846195699 and 3638846195708.

It is not an unprimeable number, because it can be changed into a prime (3638846195771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8896934260 + ... + 8896934668.

Almost surely, 2^{3638846195776} is an apocalyptic number.

3638846195776 is the 1907576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3638846195776

3638846195776 is an abundant number, since it is smaller than the sum of its proper divisors (4470511637927).

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

3638846195776 is an frugal number, since it uses more digits than its factorization.

3638846195776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 475 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 73.

The spelling of 3638846195776 in words is "three trillion, six hundred thirty-eight billion, eight hundred forty-six million, one hundred ninety-five thousand, seven hundred seventy-six".