34020203264 has 72 divisors (see below), whose sum is σ = 69771760128. Its totient is φ = 16547517440.

The previous prime is 34020203263. The next prime is 34020203341. The reversal of 34020203264 is 46230202043.

It is not an unprimeable number, because it can be changed into a prime (34020203263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2000879 + ... + 2017809.

It is an arithmetic number, because the mean of its divisors is an integer number (969052224).

Almost surely, 2^34020203264 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 34020203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34885880064).

34020203264 is an abundant number, since it is smaller than the sum of its proper divisors (35751556864).

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

34020203264 is a wasteful number, since it uses less digits than its factorization.

34020203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17161 (or 17147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The spelling of 34020203264 in words is "thirty-four billion, twenty million, two hundred three thousand, two hundred sixty-four".