34426312353 has 12 divisors (see below), whose sum is σ = 49850908068. Its totient is φ = 22893638400.

The previous prime is 34426312337. The next prime is 34426312367. The reversal of 34426312353 is 35321362443.

34426312353 is a `hidden beast` number, since 3 + 44 + 263 + 1 + 2 + 353 = 666.

34426312353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23272417809 + 11153894544 = 152553^2 + 105612^2 .

It is not a de Polignac number, because 34426312353 - 2⁴ = 34426312337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34426312253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4765900 + ... + 4773117.

It is an arithmetic number, because the mean of its divisors is an integer number (4154242339).

Almost surely, 2^34426312353 is an apocalyptic number.

It is an amenable number.

34426312353 is a deficient number, since it is larger than the sum of its proper divisors (15424595715).

34426312353 is a wasteful number, since it uses less digits than its factorization.

34426312353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9539424 (or 9539421 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

Adding to 34426312353 its reverse (35321362443), we get a palindrome (69747674796).

The spelling of 34426312353 in words is "thirty-four billion, four hundred twenty-six million, three hundred twelve thousand, three hundred fifty-three".