34036218520128 has 672 divisors, whose sum is σ = 118683973025280. Its totient is φ = 9191356416000.

The previous prime is 34036218520099. The next prime is 34036218520289. The reversal of 34036218520128 is 82102581263043.

34036218520128 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 621 + 8 + 5 + 2 + 0 + 12 + 8 = 666.

It is a super-4 number, since 4×34036218520128⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5179759083 + ... + 5179765653.

Almost surely, 2^{34036218520128} is an apocalyptic number.

34036218520128 is a gapful number since it is divisible by the number (38) 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 34036218520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59341986512640).

34036218520128 is an abundant number, since it is smaller than the sum of its proper divisors (84647754505152).

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

34036218520128 is a wasteful number, since it uses less digits than its factorization.

34036218520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9167 (or 9154 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 34036218520128 in words is "thirty-four trillion, thirty-six billion, two hundred eighteen million, five hundred twenty thousand, one hundred twenty-eight".