34640603098704 has 320 divisors, whose sum is σ = 101816349408000. Its totient is φ = 11273781657600.

The previous prime is 34640603098679. The next prime is 34640603098711. The reversal of 34640603098704 is 40789030604643.

34640603098704 is a `hidden beast` number, since 3 + 464 + 0 + 60 + 30 + 98 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 1471739224 + ... + 1471762760.

It is an arithmetic number, because the mean of its divisors is an integer number (318176091900).

Almost surely, 2^{34640603098704} 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 34640603098704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50908174704000).

34640603098704 is an abundant number, since it is smaller than the sum of its proper divisors (67175746309296).

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

34640603098704 is a wasteful number, since it uses less digits than its factorization.

34640603098704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24123 (or 24111 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 34640603098704 in words is "thirty-four trillion, six hundred forty billion, six hundred three million, ninety-eight thousand, seven hundred four".