34784248757 has 2 divisors, whose sum is σ = 34784248758. Its totient is φ = 34784248756.

The previous prime is 34784248729. The next prime is 34784248769. The reversal of 34784248757 is 75784248743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26488864516 + 8295384241 = 162754^2 + 91079^2 .

It is a cyclic number.

It is not a de Polignac number, because 34784248757 - 2²⁸ = 34515813301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34784248696 and 34784248705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34784248717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17392124378 + 17392124379.

It is an arithmetic number, because the mean of its divisors is an integer number (17392124379).

Almost surely, 2^34784248757 is an apocalyptic number.

It is an amenable number.

34784248757 is a deficient number, since it is larger than the sum of its proper divisors (1).

34784248757 is an equidigital number, since it uses as much as digits as its factorization.

34784248757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42147840, while the sum is 59.

The spelling of 34784248757 in words is "thirty-four billion, seven hundred eighty-four million, two hundred forty-eight thousand, seven hundred fifty-seven".