341379817650432 has 576 divisors, whose sum is σ = 1137643960320000. Its totient is φ = 100038857932800.

The previous prime is 341379817650409. The next prime is 341379817650437. The reversal of 341379817650432 is 234056718973143.

341379817650432 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 7 + 9 + 81 + 76 + 50 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 341379817650432.

It is not an unprimeable number, because it can be changed into a prime (341379817650437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3297380044 + ... + 3297483572.

It is an arithmetic number, because the mean of its divisors is an integer number (1975076320000).

It is a 1-persistent number, because it is pandigital, but 2⋅341379817650432 = 682759635300864 is not.

Almost surely, 2^{341379817650432} is an apocalyptic number.

341379817650432 is a gapful number since it is divisible by the number (32) 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 341379817650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568821980160000).

341379817650432 is an abundant number, since it is smaller than the sum of its proper divisors (796264142669568).

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

341379817650432 is a wasteful number, since it uses less digits than its factorization.

341379817650432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104995 (or 104975 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 341379817650432 in words is "three hundred forty-one trillion, three hundred seventy-nine billion, eight hundred seventeen million, six hundred fifty thousand, four hundred thirty-two".