34675200000 has 936 divisors, whose sum is σ = 146404754496. Its totient is φ = 7741440000.

The previous prime is 34675199989. The next prime is 34675200019. The reversal of 34675200000 is 257643.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 806399979 + ... + 806400021.

It is an arithmetic number, because the mean of its divisors is an integer number (156415336).

Almost surely, 2^34675200000 is an apocalyptic number.

34675200000 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 34675200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73202377248).

34675200000 is an abundant number, since it is smaller than the sum of its proper divisors (111729554496).

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

34675200000 is an frugal number, since it uses more digits than its factorization.

34675200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 34675200000 its reverse (257643), we get a palindrome (34675457643).

The spelling of 34675200000 in words is "thirty-four billion, six hundred seventy-five million, two hundred thousand".