34800827040037 has 2 divisors, whose sum is σ = 34800827040038. Its totient is φ = 34800827040036.

The previous prime is 34800827039873. The next prime is 34800827040041. The reversal of 34800827040037 is 73004072800843.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20156229805761 + 14644597234276 = 4489569^2 + 3826826^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34800827040037 is a prime.

It is a super-2 number, since 2×34800827040037² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34800827040097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17400413520018 + 17400413520019.

It is an arithmetic number, because the mean of its divisors is an integer number (17400413520019).

Almost surely, 2^{34800827040037} is an apocalyptic number.

It is an amenable number.

34800827040037 is a deficient number, since it is larger than the sum of its proper divisors (1).

34800827040037 is an equidigital number, since it uses as much as digits as its factorization.

34800827040037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 34800827040037 in words is "thirty-four trillion, eight hundred billion, eight hundred twenty-seven million, forty thousand, thirty-seven".