34709080538496 has 384 divisors, whose sum is σ = 114261616362240. Its totient is φ = 9140713021440.

The previous prime is 34709080538441. The next prime is 34709080538533. The reversal of 34709080538496 is 69483508090743.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 313846666 + ... + 313957238.

It is an arithmetic number, because the mean of its divisors is an integer number (297556292610).

Almost surely, 2^{34709080538496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34709080538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57130808181120).

34709080538496 is an abundant number, since it is smaller than the sum of its proper divisors (79552535823744).

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

34709080538496 is a wasteful number, since it uses less digits than its factorization.

34709080538496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111314 (or 111289 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 34709080538496 in words is "thirty-four trillion, seven hundred nine billion, eighty million, five hundred thirty-eight thousand, four hundred ninety-six".