34257123201 has 16 divisors (see below), whose sum is σ = 52228149248. Its totient is φ = 19565442000.

The previous prime is 34257123191. The next prime is 34257123211. The reversal of 34257123201 is 10232175243.

It is an interprime number because it is at equal distance from previous prime (34257123191) and next prime (34257123211).

It is not a de Polignac number, because 34257123201 - 2⁹ = 34257122689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34257123211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377095 + ... + 459036.

It is an arithmetic number, because the mean of its divisors is an integer number (3264259328).

Almost surely, 2^34257123201 is an apocalyptic number.

It is an amenable number.

34257123201 is a deficient number, since it is larger than the sum of its proper divisors (17971026047).

34257123201 is a wasteful number, since it uses less digits than its factorization.

34257123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838092.

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 34257123201 its reverse (10232175243), we get a palindrome (44489298444).

The spelling of 34257123201 in words is "thirty-four billion, two hundred fifty-seven million, one hundred twenty-three thousand, two hundred one".