34200644444160 has 224 divisors, whose sum is σ = 113209028079840. Its totient is φ = 8805682249728.

The previous prime is 34200644444093. The next prime is 34200644444167. The reversal of 34200644444160 is 6144444600243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200644444167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235197 + ... + 8362236.

It is an arithmetic number, because the mean of its divisors is an integer number (505397446785).

Almost surely, 2^{34200644444160} is an apocalyptic number.

34200644444160 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 34200644444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56604514039920).

34200644444160 is an abundant number, since it is smaller than the sum of its proper divisors (79008383635680).

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

34200644444160 is an equidigital number, since it uses as much as digits as its factorization.

34200644444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597496 (or 9597472 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 34200644444160 in words is "thirty-four trillion, two hundred billion, six hundred forty-four million, four hundred forty-four thousand, one hundred sixty".