34388680704 has 448 divisors, whose sum is σ = 111163242240. Its totient is φ = 9248440320.

The previous prime is 34388680633. The next prime is 34388680763. The reversal of 34388680704 is 40708688343.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304324552 + ... + 304324664.

Almost surely, 2^34388680704 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 34388680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55581621120).

34388680704 is an abundant number, since it is smaller than the sum of its proper divisors (76774561536).

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

34388680704 is a wasteful number, since it uses less digits than its factorization.

34388680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 34388680704 in words is "thirty-four billion, three hundred eighty-eight million, six hundred eighty thousand, seven hundred four".