34657426241 has 2 divisors, whose sum is σ = 34657426242. Its totient is φ = 34657426240.

The previous prime is 34657426213. The next prime is 34657426267. The reversal of 34657426241 is 14262475643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34633210000 + 24216241 = 186100^2 + 4921^2 .

It is a cyclic number.

It is not a de Polignac number, because 34657426241 - 2¹⁰ = 34657425217 is a prime.

It is a super-2 number, since 2×34657426241² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34657426192 and 34657426201.

It is not a weakly prime, because it can be changed into another prime (34657426201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17328713120 + 17328713121.

It is an arithmetic number, because the mean of its divisors is an integer number (17328713121).

Almost surely, 2^34657426241 is an apocalyptic number.

It is an amenable number.

34657426241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34657426241 is an equidigital number, since it uses as much as digits as its factorization.

34657426241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 967680, while the sum is 44.

The spelling of 34657426241 in words is "thirty-four billion, six hundred fifty-seven million, four hundred twenty-six thousand, two hundred forty-one".