340067984256 has 1920 divisors, whose sum is σ = 1437153822720. Its totient is φ = 78382080000.

The previous prime is 340067984251. The next prime is 340067984273. The reversal of 340067984256 is 652489760043.

340067984256 is a `hidden beast` number, since 3 + 400 + 67 + 98 + 42 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340067984251) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 2252105781 + ... + 2252105931.

It is an arithmetic number, because the mean of its divisors is an integer number (748517616).

Almost surely, 2^340067984256 is an apocalyptic number.

340067984256 is a gapful number since it is divisible by the number (36) 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 340067984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718576911360).

340067984256 is an abundant number, since it is smaller than the sum of its proper divisors (1097085838464).

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

340067984256 is a wasteful number, since it uses less digits than its factorization.

340067984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 340067984256 in words is "three hundred forty billion, sixty-seven million, nine hundred eighty-four thousand, two hundred fifty-six".