34312352800 has 72 divisors (see below), whose sum is σ = 91380057552. Its totient is φ = 12477216000.

The previous prime is 34312352783. The next prime is 34312352813. The reversal of 34312352800 is 825321343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1940766 + ... + 1958365.

It is an arithmetic number, because the mean of its divisors is an integer number (1269167466).

Almost surely, 2^34312352800 is an apocalyptic number.

It is an amenable number.

34312352800 is an abundant number, since it is smaller than the sum of its proper divisors (57067704752).

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

34312352800 is a wasteful number, since it uses less digits than its factorization.

34312352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899162 (or 3899149 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 34312352800 in words is "thirty-four billion, three hundred twelve million, three hundred fifty-two thousand, eight hundred".