34000020864 has 160 divisors (see below), whose sum is σ = 101959977240. Its totient is φ = 11246376960.

The previous prime is 34000020833. The next prime is 34000020889. The reversal of 34000020864 is 46802000043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1345692 + ... + 1370724.

Almost surely, 2^34000020864 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 34000020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50979988620).

34000020864 is an abundant number, since it is smaller than the sum of its proper divisors (67959956376).

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

34000020864 is a wasteful number, since it uses less digits than its factorization.

34000020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25190 (or 25169 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 34000020864 in words is "thirty-four billion, twenty thousand, eight hundred sixty-four".