34842284700 has 144 divisors (see below), whose sum is σ = 102643680384. Its totient is φ = 9123206400.

The previous prime is 34842284671. The next prime is 34842284717. The reversal of 34842284700 is 748224843.

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, 6650482 + ... + 6655718.

It is an arithmetic number, because the mean of its divisors is an integer number (712803336).

Almost surely, 2^34842284700 is an apocalyptic number.

34842284700 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 34842284700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51321840192).

34842284700 is an abundant number, since it is smaller than the sum of its proper divisors (67801395684).

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

34842284700 is a wasteful number, since it uses less digits than its factorization.

34842284700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 34842284700 in words is "thirty-four billion, eight hundred forty-two million, two hundred eighty-four thousand, seven hundred".