341289640000 has 315 divisors, whose sum is σ = 891703131627. Its totient is φ = 129552192000.

The previous prime is 341289639983. The next prime is 341289640007. The reversal of 341289640000 is 46982143.

The square root of 341289640000 is 584200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 26757107776 + 314532532224 = 163576^2 + 560832^2 .

It is not an unprimeable number, because it can be changed into a prime (341289640007) 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 44 ways as a sum of consecutive naturals, for example, 2687319937 + ... + 2687320063.

Almost surely, 2^341289640000 is an apocalyptic number.

341289640000 is the 584200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341289640000

341289640000 is an abundant number, since it is smaller than the sum of its proper divisors (550413491627).

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

341289640000 is an frugal number, since it uses more digits than its factorization.

341289640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 341289640000 in words is "three hundred forty-one billion, two hundred eighty-nine million, six hundred forty thousand".