340305725760 has 1792 divisors, whose sum is σ = 1539633070080. Its totient is φ = 61377085440.

The previous prime is 340305725743. The next prime is 340305725827. The reversal of 340305725760 is 67527503043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1967085034 + ... + 1967085206.

It is an arithmetic number, because the mean of its divisors is an integer number (859170240).

Almost surely, 2^340305725760 is an apocalyptic number.

340305725760 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 340305725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769816535040).

340305725760 is an abundant number, since it is smaller than the sum of its proper divisors (1199327344320).

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

340305725760 is a wasteful number, since it uses less digits than its factorization.

340305725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 340305725760 in words is "three hundred forty billion, three hundred five million, seven hundred twenty-five thousand, seven hundred sixty".