34369020800 has 96 divisors (see below), whose sum is σ = 86973339600. Its totient is φ = 13412249600.

The previous prime is 34369020787. The next prime is 34369020811. The reversal of 34369020800 is 802096343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221 + ... + 262179.

Almost surely, 2^34369020800 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 34369020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43486669800).

34369020800 is an abundant number, since it is smaller than the sum of its proper divisors (52604318800).

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

34369020800 is a wasteful number, since it uses less digits than its factorization.

34369020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262024 (or 262007 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 34369020800 in words is "thirty-four billion, three hundred sixty-nine million, twenty thousand, eight hundred".