340028934400 has 243 divisors, whose sum is σ = 869399211009. Its totient is φ = 131663831040.

The previous prime is 340028934397. The next prime is 340028934407. The reversal of 340028934400 is 4439820043.

The square root of 340028934400 is 583120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 9799416064 + 330229518336 = 98992^2 + 574656^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 340028934400.

It is not an unprimeable number, because it can be changed into a prime (340028934407) 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 26 ways as a sum of consecutive naturals, for example, 1726035102 + ... + 1726035298.

Almost surely, 2^340028934400 is an apocalyptic number.

340028934400 is the 583120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340028934400

340028934400 is an abundant number, since it is smaller than the sum of its proper divisors (529370276609).

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

340028934400 is an frugal number, since it uses more digits than its factorization.

340028934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 340028934400 in words is "three hundred forty billion, twenty-eight million, nine hundred thirty-four thousand, four hundred".