34698827121 has 48 divisors (see below), whose sum is σ = 56684448000. Its totient is φ = 18773288352.

The previous prime is 34698827113. The next prime is 34698827123. The reversal of 34698827121 is 12172889643.

It is a happy number.

It is not a de Polignac number, because 34698827121 - 2³ = 34698827113 is a prime.

It is a super-3 number, since 3×34698827121³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34698827123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7536006 + ... + 7540608.

It is an arithmetic number, because the mean of its divisors is an integer number (1180926000).

Almost surely, 2^34698827121 is an apocalyptic number.

It is an amenable number.

34698827121 is a deficient number, since it is larger than the sum of its proper divisors (21985620879).

34698827121 is a wasteful number, since it uses less digits than its factorization.

34698827121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7338 (or 7331 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 34698827121 in words is "thirty-four billion, six hundred ninety-eight million, eight hundred twenty-seven thousand, one hundred twenty-one".