34009082600 has 48 divisors (see below), whose sum is σ = 79286740800. Its totient is φ = 13566536640.

The previous prime is 34009082599. The next prime is 34009082609. The reversal of 34009082600 is 628090043.

It is not an unprimeable number, because it can be changed into a prime (34009082609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158270 + ... + 305069.

It is an arithmetic number, because the mean of its divisors is an integer number (1651807100).

Almost surely, 2^34009082600 is an apocalyptic number.

It is an amenable number.

34009082600 is an abundant number, since it is smaller than the sum of its proper divisors (45277658200).

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

34009082600 is a wasteful number, since it uses less digits than its factorization.

34009082600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463722 (or 463713 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 34009082600 in words is "thirty-four billion, nine million, eighty-two thousand, six hundred".