3271753822401 has 27 divisors (see below), whose sum is σ = 4797987890241. Its totient is φ = 2148375689064.

The previous prime is 3271753822399. The next prime is 3271753822409. The reversal of 3271753822401 is 1042283571723.

The square root of 3271753822401 is 1808799.

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

3271753822401 is a `hidden beast` number, since 3 + 2 + 71 + 7 + 538 + 2 + 2 + 40 + 1 = 666.

It is not a de Polignac number, because 3271753822401 - 2¹ = 3271753822399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3271753822409) 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, 363564100 + ... + 363573098.

Almost surely, 2^{3271753822401} is an apocalyptic number.

3271753822401 is the 1808799-th square number.

3271753822401 is the 904400-th centered octagonal number.

It is an amenable number.

3271753822401 is a deficient number, since it is larger than the sum of its proper divisors (1526234067840).

3271753822401 is an frugal number, since it uses more digits than its factorization.

3271753822401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18138 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 3271753822401 in words is "three trillion, two hundred seventy-one billion, seven hundred fifty-three million, eight hundred twenty-two thousand, four hundred one".