34000123864 has 64 divisors (see below), whose sum is σ = 73966694400. Its totient is φ = 14350089600.

The previous prime is 34000123853. The next prime is 34000123907. The reversal of 34000123864 is 46832100043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3935902 + ... + 3944530.

It is an arithmetic number, because the mean of its divisors is an integer number (1155729600).

Almost surely, 2^34000123864 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 34000123864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36983347200).

34000123864 is an abundant number, since it is smaller than the sum of its proper divisors (39966570536).

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

34000123864 is a wasteful number, since it uses less digits than its factorization.

34000123864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 34000123864 in words is "thirty-four billion, one hundred twenty-three thousand, eight hundred sixty-four".