341711382680640 has 1680 divisors, whose sum is σ = 1454952766831344. Its totient is φ = 75871531008000.

The previous prime is 341711382680567. The next prime is 341711382680653. The reversal of 341711382680640 is 46086283117143.

341711382680640 is a `hidden beast` number, since 3 + 417 + 1 + 13 + 82 + 6 + 80 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9739192909824 + 331972189770816 = 3120768^2 + 18220104^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 6798713110 + ... + 6798763370.

Almost surely, 2^{341711382680640} is an apocalyptic number.

341711382680640 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 341711382680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727476383415672).

341711382680640 is an abundant number, since it is smaller than the sum of its proper divisors (1113241384150704).

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

341711382680640 is a wasteful number, since it uses less digits than its factorization.

341711382680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50458 (or 50432 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 341711382680640 in words is "three hundred forty-one trillion, seven hundred eleven billion, three hundred eighty-two million, six hundred eighty thousand, six hundred forty".