340865199360 has 648 divisors, whose sum is σ = 1452647608776. Its totient is φ = 73326919680.

The previous prime is 340865199347. The next prime is 340865199379. The reversal of 340865199360 is 63991568043.

340865199360 is a `hidden beast` number, since 3 + 40 + 86 + 519 + 9 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131438151936 + 209427047424 = 362544^2 + 457632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 340865199297 and 340865199306.

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, 9578400 + ... + 9613920.

It is an arithmetic number, because the mean of its divisors is an integer number (2241740137).

Almost surely, 2^340865199360 is an apocalyptic number.

340865199360 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 340865199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726323804388).

340865199360 is an abundant number, since it is smaller than the sum of its proper divisors (1111782409416).

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

340865199360 is a wasteful number, since it uses less digits than its factorization.

340865199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35579 (or 35555 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

It can be divided in two parts, 340865 and 199360, that added together give a square (540225 = 735²).

The spelling of 340865199360 in words is "three hundred forty billion, eight hundred sixty-five million, one hundred ninety-nine thousand, three hundred sixty".