34906828834031 has 144 divisors (see below), whose sum is σ = 45466507247616. Its totient is φ = 26698351680000.

The previous prime is 34906828834019. The next prime is 34906828834067. The reversal of 34906828834031 is 13043882860943.

It is a de Polignac number, because none of the positive numbers 2^k-34906828834031 is a prime.

It is a super-2 number, since 2×34906828834031² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34906828834091) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38317045466 + ... + 38317046376.

It is an arithmetic number, because the mean of its divisors is an integer number (315739633664).

Almost surely, 2^{34906828834031} is an apocalyptic number.

34906828834031 is a deficient number, since it is larger than the sum of its proper divisors (10559678413585).

34906828834031 is a wasteful number, since it uses less digits than its factorization.

34906828834031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 59.

The spelling of 34906828834031 in words is "thirty-four trillion, nine hundred six billion, eight hundred twenty-eight million, eight hundred thirty-four thousand, thirty-one".