34014243000 has 256 divisors, whose sum is σ = 107749699200. Its totient is φ = 8932761600.

The previous prime is 34014242971. The next prime is 34014243017. The reversal of 34014243000 is 34241043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91190814 + ... + 91191186.

Almost surely, 2^34014243000 is an apocalyptic number.

34014243000 is a gapful number since it is divisible by the number (30) 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 34014243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53874849600).

34014243000 is an abundant number, since it is smaller than the sum of its proper divisors (73735456200).

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

34014243000 is a wasteful number, since it uses less digits than its factorization.

34014243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34014243000 its reverse (34241043), we get a palindrome (34048484043).

The spelling of 34014243000 in words is "thirty-four billion, fourteen million, two hundred forty-three thousand".