34033608000000 has 3360 divisors, whose sum is σ = 151506918186624. Its totient is φ = 7464960000000.

The previous prime is 34033607999971. The next prime is 34033608000013. The reversal of 34033608000000 is 80633043.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 557927999970 + ... + 557928000030.

Almost surely, 2^{34033608000000} is an apocalyptic number.

34033608000000 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 34033608000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75753459093312).

34033608000000 is an abundant number, since it is smaller than the sum of its proper divisors (117473310186624).

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

34033608000000 is an frugal number, since it uses more digits than its factorization.

34033608000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34033608000000 its reverse (80633043), we get a palindrome (34033688633043).

The spelling of 34033608000000 in words is "thirty-four trillion, thirty-three billion, six hundred eight million", and thus it is an aban number.