34914460000 has 360 divisors, whose sum is σ = 104330041200. Its totient is φ = 11442816000.

The previous prime is 34914459991. The next prime is 34914460027. The reversal of 34914460000 is 6441943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22539226 + ... + 22540774.

It is an arithmetic number, because the mean of its divisors is an integer number (289805670).

Almost surely, 2^34914460000 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 34914460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52165020600).

34914460000 is an abundant number, since it is smaller than the sum of its proper divisors (69415581200).

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

34914460000 is a wasteful number, since it uses less digits than its factorization.

34914460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 34914460000 in words is "thirty-four billion, nine hundred fourteen million, four hundred sixty thousand".