34522800000 has 384 divisors, whose sum is σ = 123491783520. Its totient is φ = 8494080000.

The previous prime is 34522799989. The next prime is 34522800047. The reversal of 34522800000 is 822543.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15598894 + ... + 15601106.

Almost surely, 2^34522800000 is an apocalyptic number.

34522800000 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 34522800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61745891760).

34522800000 is an abundant number, since it is smaller than the sum of its proper divisors (88968983520).

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

34522800000 is an equidigital number, since it uses as much as digits as its factorization.

34522800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 34522800000 in words is "thirty-four billion, five hundred twenty-two million, eight hundred thousand".