34085500800 has 384 divisors, whose sum is σ = 122025627360. Its totient is φ = 8312586240.

The previous prime is 34085500793. The next prime is 34085500811. The reversal of 34085500800 is 800558043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14101192 + ... + 14103608.

Almost surely, 2^34085500800 is an apocalyptic number.

34085500800 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 34085500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61012813680).

34085500800 is an abundant number, since it is smaller than the sum of its proper divisors (87940126560).

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

34085500800 is a wasteful number, since it uses less digits than its factorization.

34085500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 34085500800 in words is "thirty-four billion, eighty-five million, five hundred thousand, eight hundred".