34420826000 has 160 divisors (see below), whose sum is σ = 92730493440. Its totient is φ = 12249984000.

The previous prime is 34420825993. The next prime is 34420826017. The reversal of 34420826000 is 62802443.

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 31 ways as a sum of consecutive naturals, for example, 1017356 + ... + 1050644.

It is an arithmetic number, because the mean of its divisors is an integer number (579565584).

Almost surely, 2^34420826000 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 34420826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46365246720).

34420826000 is an abundant number, since it is smaller than the sum of its proper divisors (58309667440).

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

34420826000 is a wasteful number, since it uses less digits than its factorization.

34420826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33370 (or 33354 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 34420826000 in words is "thirty-four billion, four hundred twenty million, eight hundred twenty-six thousand".