34960517901 has 12 divisors (see below), whose sum is σ = 53469027612. Its totient is φ = 21936011136.

The previous prime is 34960517887. The next prime is 34960517939. The reversal of 34960517901 is 10971506943.

34960517901 is a `hidden beast` number, since 3 + 49 + 6 + 0 + 517 + 90 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31506605001 + 3453912900 = 177501^2 + 58770^2 .

It is not a de Polignac number, because 34960517901 - 2¹⁷ = 34960386829 is a prime.

It is a super-2 number, since 2×34960517901² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34960517971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114249906 + ... + 114250211.

It is an arithmetic number, because the mean of its divisors is an integer number (4455752301).

Almost surely, 2^34960517901 is an apocalyptic number.

It is an amenable number.

34960517901 is a deficient number, since it is larger than the sum of its proper divisors (18508509711).

34960517901 is a wasteful number, since it uses less digits than its factorization.

34960517901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228500140 (or 228500137 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 34960517901 in words is "thirty-four billion, nine hundred sixty million, five hundred seventeen thousand, nine hundred one".