340557446329 has 27 divisors (see below), whose sum is σ = 353095503663. Its totient is φ = 328462895904.

The previous prime is 340557446323. The next prime is 340557446363. The reversal of 340557446329 is 923644755043.

The square root of 340557446329 is 583573.

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

It can be written as a sum of positive squares in only one way, i.e., 65394252729 + 275163193600 = 255723^2 + 524560^2 .

It is not a de Polignac number, because 340557446329 - 2¹¹ = 340557444281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (340557446323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3826488117 + ... + 3826488205.

Almost surely, 2^340557446329 is an apocalyptic number.

340557446329 is the 583573-rd square number.

340557446329 is the 291787-th centered octagonal number.

It is an amenable number.

340557446329 is a deficient number, since it is larger than the sum of its proper divisors (12538057334).

340557446329 is an frugal number, since it uses more digits than its factorization.

340557446329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 52.

The spelling of 340557446329 in words is "three hundred forty billion, five hundred fifty-seven million, four hundred forty-six thousand, three hundred twenty-nine".