3547952727201 has 21 divisors (see below), whose sum is σ = 5319571904769. Its totient is φ = 2365267913316.

The previous prime is 3547952727173. The next prime is 3547952727259. The reversal of 3547952727201 is 1027272597453.

The square root of 3547952727201 is 1883601.

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

3547952727201 is a `hidden beast` number, since 3 + 5 + 4 + 79 + 527 + 27 + 20 + 1 = 666.

It is not a de Polignac number, because 3547952727201 - 2²⁵ = 3547919172769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3547952727271) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 50822346 + ... + 50892108.

Almost surely, 2^{3547952727201} is an apocalyptic number.

3547952727201 is the 1883601-st square number.

3547952727201 is the 941801-st centered octagonal number.

It is an amenable number.

3547952727201 is a deficient number, since it is larger than the sum of its proper divisors (1771619177568).

3547952727201 is an frugal number, since it uses more digits than its factorization.

3547952727201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139544 (or 69766 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 3547952727201 in words is "three trillion, five hundred forty-seven billion, nine hundred fifty-two million, seven hundred twenty-seven thousand, two hundred one".