34812443400 has 192 divisors, whose sum is σ = 123760828800. Its totient is φ = 7929692160.

The previous prime is 34812443383. The next prime is 34812443411. The reversal of 34812443400 is 434421843.

34812443400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1216456 + ... + 1244744.

It is an arithmetic number, because the mean of its divisors is an integer number (644587650).

Almost surely, 2^34812443400 is an apocalyptic number.

34812443400 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 34812443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61880414400).

34812443400 is an abundant number, since it is smaller than the sum of its proper divisors (88948385400).

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

34812443400 is a wasteful number, since it uses less digits than its factorization.

34812443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28608 (or 28599 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 34812443400 in words is "thirty-four billion, eight hundred twelve million, four hundred forty-three thousand, four hundred".