3642727505309 has 2 divisors, whose sum is σ = 3642727505310. Its totient is φ = 3642727505308.

The previous prime is 3642727505267. The next prime is 3642727505317. The reversal of 3642727505309 is 9035057272463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3176985408100 + 465742097209 = 1782410^2 + 682453^2 .

It is a cyclic number.

It is not a de Polignac number, because 3642727505309 - 2¹² = 3642727501213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3642727505399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1821363752654 + 1821363752655.

It is an arithmetic number, because the mean of its divisors is an integer number (1821363752655).

Almost surely, 2^{3642727505309} is an apocalyptic number.

It is an amenable number.

3642727505309 is a deficient number, since it is larger than the sum of its proper divisors (1).

3642727505309 is an equidigital number, since it uses as much as digits as its factorization.

3642727505309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9525600, while the sum is 53.

The spelling of 3642727505309 in words is "three trillion, six hundred forty-two billion, seven hundred twenty-seven million, five hundred five thousand, three hundred nine".