34426648257 has 24 divisors (see below), whose sum is σ = 46659013632. Its totient is φ = 22578732000.

The previous prime is 34426648247. The next prime is 34426648273. The reversal of 34426648257 is 75284662443.

34426648257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34426648257 - 2⁴ = 34426648241 is a prime.

It is a super-2 number, since 2×34426648257² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34426648247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15499407 + ... + 15501627.

It is an arithmetic number, because the mean of its divisors is an integer number (1944125568).

Almost surely, 2^34426648257 is an apocalyptic number.

It is an amenable number.

34426648257 is a deficient number, since it is larger than the sum of its proper divisors (12232365375).

34426648257 is a wasteful number, since it uses less digits than its factorization.

34426648257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3442 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 51.

The spelling of 34426648257 in words is "thirty-four billion, four hundred twenty-six million, six hundred forty-eight thousand, two hundred fifty-seven".