34703649395712 has 528 divisors, whose sum is σ = 113731813638144. Its totient is φ = 10096773120000.

The previous prime is 34703649395711. The next prime is 34703649395717. The reversal of 34703649395712 is 21759394630743.

34703649395712 is a `hidden beast` number, since 3 + 4 + 70 + 3 + 6 + 493 + 9 + 5 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a self number, because there is not a number n which added to its sum of digits gives 34703649395712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34703649395711) 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 47 ways as a sum of consecutive naturals, for example, 399073837 + ... + 399160787.

Almost surely, 2^{34703649395712} is an apocalyptic number.

34703649395712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34703649395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56865906819072).

34703649395712 is an abundant number, since it is smaller than the sum of its proper divisors (79028164242432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34703649395712 is a wasteful number, since it uses less digits than its factorization.

34703649395712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87146 (or 87125 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 34703649395712 in words is "thirty-four trillion, seven hundred three billion, six hundred forty-nine million, three hundred ninety-five thousand, seven hundred twelve".