34808836608000 has 4992 divisors, whose sum is σ = 172800544250880. Its totient is φ = 6522981580800.

The previous prime is 34808836607957. The next prime is 34808836608001. The reversal of 34808836608000 is 80663880843.

It is a happy number.

34808836608000 is a `hidden beast` number, since 3 + 480 + 8 + 83 + 6 + 6 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34808836608001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 135442943872 + ... + 135442944128.

It is an arithmetic number, because the mean of its divisors is an integer number (34615493640).

Almost surely, 2^{34808836608000} is an apocalyptic number.

34808836608000 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 34808836608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400272125440).

34808836608000 is an abundant number, since it is smaller than the sum of its proper divisors (137991707642880).

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

34808836608000 is a wasteful number, since it uses less digits than its factorization.

34808836608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 34808836608000 in words is "thirty-four trillion, eight hundred eight billion, eight hundred thirty-six million, six hundred eight thousand".