3886414017201 has 27 divisors (see below), whose sum is σ = 5868600776857. Its totient is φ = 2478206254920.

The previous prime is 3886414017181. The next prime is 3886414017217. The reversal of 3886414017201 is 1027104146883.

The square root of 3886414017201 is 1971399.

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

3886414017201 is a `hidden beast` number, since 38 + 8 + 6 + 4 + 1 + 401 + 7 + 201 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-3886414017201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3886414017251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 136012246 + ... + 136040816.

Almost surely, 2^{3886414017201} is an apocalyptic number.

3886414017201 is the 1971399-th square number.

3886414017201 is the 985700-th centered octagonal number.

It is an amenable number.

3886414017201 is a deficient number, since it is larger than the sum of its proper divisors (1982186759656).

3886414017201 is an frugal number, since it uses more digits than its factorization.

3886414017201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57194 (or 28597 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 3886414017201 in words is "three trillion, eight hundred eighty-six billion, four hundred fourteen million, seventeen thousand, two hundred one".