34116414364 has 48 divisors (see below), whose sum is σ = 63980421120. Its totient is φ = 15871265280.

The previous prime is 34116414331. The next prime is 34116414373. The reversal of 34116414364 is 46341461143.

It is a super-2 number, since 2×34116414364² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 948069 + ... + 983395.

It is an arithmetic number, because the mean of its divisors is an integer number (1332925440).

Almost surely, 2^34116414364 is an apocalyptic number.

It is an amenable number.

34116414364 is a deficient number, since it is larger than the sum of its proper divisors (29864006756).

34116414364 is a wasteful number, since it uses less digits than its factorization.

34116414364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35578 (or 35576 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The spelling of 34116414364 in words is "thirty-four billion, one hundred sixteen million, four hundred fourteen thousand, three hundred sixty-four".