34289280000000 has 672 divisors, whose sum is σ = 123835324191696. Its totient is φ = 9142272000000.

The previous prime is 34289279999893. The next prime is 34289280000029. The reversal of 34289280000000 is 8298243.

It can be written as a sum of positive squares in 8 ways, for example, as 34173658238976 + 115621761024 = 5845824^2 + 340032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34289280000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5759997024 + ... + 5760002976.

Almost surely, 2^{34289280000000} is an apocalyptic number.

34289280000000 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 34289280000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61917662095848).

34289280000000 is an abundant number, since it is smaller than the sum of its proper divisors (89546044191696).

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

34289280000000 is an frugal number, since it uses more digits than its factorization.

34289280000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 34289280000000 its reverse (8298243), we get a palindrome (34289288298243).

The spelling of 34289280000000 in words is "thirty-four trillion, two hundred eighty-nine billion, two hundred eighty million", and thus it is an aban number.