341284608000 has 864 divisors, whose sum is σ = 1431457634880. Its totient is φ = 77982105600.

The previous prime is 341284607999. The next prime is 341284608023. The reversal of 341284608000 is 806482143.

341284608000 is a `hidden beast` number, since 3 + 41 + 2 + 8 + 4 + 608 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 112894489 + ... + 112897511.

It is an arithmetic number, because the mean of its divisors is an integer number (1656779670).

Almost surely, 2^341284608000 is an apocalyptic number.

341284608000 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 341284608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715728817440).

341284608000 is an abundant number, since it is smaller than the sum of its proper divisors (1090173026880).

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

341284608000 is a wasteful number, since it uses less digits than its factorization.

341284608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 341284608000 in words is "three hundred forty-one billion, two hundred eighty-four million, six hundred eight thousand".