340646241312 has 288 divisors, whose sum is σ = 1128912640128. Its totient is φ = 100256403456.

The previous prime is 340646241307. The next prime is 340646241347. The reversal of 340646241312 is 213142646043.

340646241312 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 4 + 624 + 13 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2251768 + ... + 2398280.

It is an arithmetic number, because the mean of its divisors is an integer number (3919835556).

Almost surely, 2^340646241312 is an apocalyptic number.

340646241312 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 340646241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564456320064).

340646241312 is an abundant number, since it is smaller than the sum of its proper divisors (788266398816).

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

340646241312 is a wasteful number, since it uses less digits than its factorization.

340646241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146574 (or 146554 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 340646241312 its reverse (213142646043), we get a palindrome (553788887355).

The spelling of 340646241312 in words is "three hundred forty billion, six hundred forty-six million, two hundred forty-one thousand, three hundred twelve".