34721403506371 has 16 divisors (see below), whose sum is σ = 38335304655360. Its totient is φ = 31323979139040.

The previous prime is 34721403506357. The next prime is 34721403506401. The reversal of 34721403506371 is 17360530412743.

It is a cyclic number.

It is not a de Polignac number, because 34721403506371 - 2⁷ = 34721403506243 is a prime.

It is a super-3 number, since 3×34721403506371³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (34721403506071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525396025 + ... + 525462106.

It is an arithmetic number, because the mean of its divisors is an integer number (2395956540960).

Almost surely, 2^{34721403506371} is an apocalyptic number.

34721403506371 is a deficient number, since it is larger than the sum of its proper divisors (3613901148989).

34721403506371 is a wasteful number, since it uses less digits than its factorization.

34721403506371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050858234.

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 34721403506371 in words is "thirty-four trillion, seven hundred twenty-one billion, four hundred three million, five hundred six thousand, three hundred seventy-one".