34346521000 has 128 divisors (see below), whose sum is σ = 91490031360. Its totient is φ = 11946528000.

The previous prime is 34346520991. The next prime is 34346521003. The reversal of 34346521000 is 12564343.

It is a self number, because there is not a number n which added to its sum of digits gives 34346521000.

It is not an unprimeable number, because it can be changed into a prime (34346521003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185122 + ... + 320878.

It is an arithmetic number, because the mean of its divisors is an integer number (714765870).

Almost surely, 2^34346521000 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 34346521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45745015680).

34346521000 is an abundant number, since it is smaller than the sum of its proper divisors (57143510360).

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

34346521000 is a wasteful number, since it uses less digits than its factorization.

34346521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135812 (or 135798 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 34346521000 in words is "thirty-four billion, three hundred forty-six million, five hundred twenty-one thousand".