340405734249 has 99 divisors (see below), whose sum is σ = 595706657373. Its totient is φ = 194517562428.

The previous prime is 340405734209. The next prime is 340405734269. The reversal of 340405734249 is 942437504043.

The square root of 340405734249 is 583443.

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

340405734249 is a `hidden beast` number, since 34 + 0 + 4 + 0 + 573 + 4 + 2 + 49 = 666.

It is not a de Polignac number, because 340405734249 - 2¹⁹ = 340405209961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (340405734209) by changing a digit.

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 98 ways as a sum of consecutive naturals, for example, 48629390604 + ... + 48629390610.

Almost surely, 2^340405734249 is an apocalyptic number.

340405734249 is the 583443-rd square number.

340405734249 is the 291722-nd centered octagonal number.

It is an amenable number.

340405734249 is a deficient number, since it is larger than the sum of its proper divisors (255300923124).

340405734249 is an frugal number, since it uses more digits than its factorization.

340405734249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 340405734249 in words is "three hundred forty billion, four hundred five million, seven hundred thirty-four thousand, two hundred forty-nine".