3506722021657 has 2 divisors, whose sum is σ = 3506722021658. Its totient is φ = 3506722021656.

The previous prime is 3506722021511. The next prime is 3506722021669. The reversal of 3506722021657 is 7561202276053.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3168723968281 + 337998053376 = 1780091^2 + 581376^2 .

It is a cyclic number.

It is not a de Polignac number, because 3506722021657 - 2¹⁹ = 3506721497369 is a prime.

It is not a weakly prime, because it can be changed into another prime (3506722721657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1753361010828 + 1753361010829.

It is an arithmetic number, because the mean of its divisors is an integer number (1753361010829).

Almost surely, 2^{3506722021657} is an apocalyptic number.

It is an amenable number.

3506722021657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3506722021657 is an equidigital number, since it uses as much as digits as its factorization.

3506722021657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 3506722021657 in words is "three trillion, five hundred six billion, seven hundred twenty-two million, twenty-one thousand, six hundred fifty-seven".