34248826257 has 96 divisors (see below), whose sum is σ = 51888936960. Its totient is φ = 20021040000.

The previous prime is 34248826253. The next prime is 34248826273. The reversal of 34248826257 is 75262884243.

It is a happy number.

It is not a de Polignac number, because 34248826257 - 2² = 34248826253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34248826253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136449382 + ... + 136449632.

It is an arithmetic number, because the mean of its divisors is an integer number (540509760).

Almost surely, 2^34248826257 is an apocalyptic number.

It is an amenable number.

34248826257 is a deficient number, since it is larger than the sum of its proper divisors (17640110703).

34248826257 is a wasteful number, since it uses less digits than its factorization.

34248826257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 404 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The spelling of 34248826257 in words is "thirty-four billion, two hundred forty-eight million, eight hundred twenty-six thousand, two hundred fifty-seven".