340871884560 has 240 divisors, whose sum is σ = 1199504262528. Its totient is φ = 86585241600.

The previous prime is 340871884531. The next prime is 340871884601. The reversal of 340871884560 is 65488178043.

340871884560 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 7 + 188 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 340871884497 and 340871884506.

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 47 ways as a sum of consecutive naturals, for example, 3948255 + ... + 4033665.

Almost surely, 2^340871884560 is an apocalyptic number.

340871884560 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 340871884560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599752131264).

340871884560 is an abundant number, since it is smaller than the sum of its proper divisors (858632377968).

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

340871884560 is a wasteful number, since it uses less digits than its factorization.

340871884560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85694 (or 85685 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 340871884560 in words is "three hundred forty billion, eight hundred seventy-one million, eight hundred eighty-four thousand, five hundred sixty".