34443004680 has 896 divisors, whose sum is σ = 142786022400. Its totient is φ = 7299611136.

The previous prime is 34443004633. The next prime is 34443004691. The reversal of 34443004680 is 8640034443.

34443004680 is a `hidden beast` number, since 344 + 4 + 300 + 4 + 6 + 8 + 0 = 666.

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

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 223 ways as a sum of consecutive naturals, for example, 321897187 + ... + 321897293.

It is an arithmetic number, because the mean of its divisors is an integer number (159359400).

Almost surely, 2^34443004680 is an apocalyptic number.

34443004680 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 34443004680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71393011200).

34443004680 is an abundant number, since it is smaller than the sum of its proper divisors (108343017720).

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

34443004680 is a wasteful number, since it uses less digits than its factorization.

34443004680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34443004680 in words is "thirty-four billion, four hundred forty-three million, four thousand, six hundred eighty".