340740073680 has 320 divisors, whose sum is σ = 1120838737920. Its totient is φ = 85494528000.

The previous prime is 340740073679. The next prime is 340740073693. The reversal of 340740073680 is 86370047043.

It is a super-2 number, since 2×340740073680² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 73259355 + ... + 73264005.

It is an arithmetic number, because the mean of its divisors is an integer number (3502621056).

Almost surely, 2^340740073680 is an apocalyptic number.

340740073680 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 340740073680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560419368960).

340740073680 is an abundant number, since it is smaller than the sum of its proper divisors (780098664240).

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

340740073680 is a wasteful number, since it uses less digits than its factorization.

340740073680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 340740073680 in words is "three hundred forty billion, seven hundred forty million, seventy-three thousand, six hundred eighty".