340785688320 has 2592 divisors, whose sum is σ = 1668418891776. Its totient is φ = 64497254400.

The previous prime is 340785688307. The next prime is 340785688409. The reversal of 340785688320 is 23886587043.

340785688320 is a `hidden beast` number, since 3 + 4 + 0 + 78 + 568 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×340785688320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10993086705 + ... + 10993086735.

It is an arithmetic number, because the mean of its divisors is an integer number (643680128).

Almost surely, 2^340785688320 is an apocalyptic number.

340785688320 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 340785688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834209445888).

340785688320 is an abundant number, since it is smaller than the sum of its proper divisors (1327633203456).

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

340785688320 is an equidigital number, since it uses as much as digits as its factorization.

340785688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 340785688320 in words is "three hundred forty billion, seven hundred eighty-five million, six hundred eighty-eight thousand, three hundred twenty".