34504209000 has 768 divisors, whose sum is σ = 132699340800. Its totient is φ = 8040384000.

The previous prime is 34504208987. The next prime is 34504209043. The reversal of 34504209000 is 90240543.

34504209000 is a `hidden beast` number, since 3 + 450 + 4 + 209 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121922859 + ... + 121923141.

It is an arithmetic number, because the mean of its divisors is an integer number (172785600).

Almost surely, 2^34504209000 is an apocalyptic number.

34504209000 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 34504209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66349670400).

34504209000 is an abundant number, since it is smaller than the sum of its proper divisors (98195131800).

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

34504209000 is a wasteful number, since it uses less digits than its factorization.

34504209000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 34504209000 its reverse (90240543), we get a palindrome (34594449543).

The spelling of 34504209000 in words is "thirty-four billion, five hundred four million, two hundred nine thousand".