34209472284 has 480 divisors, whose sum is σ = 104568966656. Its totient is φ = 9674588160.

The previous prime is 34209472261. The next prime is 34209472327. The reversal of 34209472284 is 48227490243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 352674924 + ... + 352675020.

Almost surely, 2^34209472284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34209472284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284483328).

34209472284 is an abundant number, since it is smaller than the sum of its proper divisors (70359494372).

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

34209472284 is a wasteful number, since it uses less digits than its factorization.

34209472284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34209472284 in words is "thirty-four billion, two hundred nine million, four hundred seventy-two thousand, two hundred eighty-four".