340405075337 has 24 divisors (see below), whose sum is σ = 362775526680. Its totient is φ = 319347671040.

The previous prime is 340405075321. The next prime is 340405075349. The reversal of 340405075337 is 733570504043.

It can be written as a sum of positive squares in 12 ways, for example, as 584865856 + 339820209481 = 24184^2 + 582941^2 .

It is not a de Polignac number, because 340405075337 - 2⁴ = 340405075321 is a prime.

It is a super-3 number, since 3×340405075337³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 340405075294 and 340405075303.

It is not an unprimeable number, because it can be changed into a prime (340405015337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190275839 + ... + 190277627.

It is an arithmetic number, because the mean of its divisors is an integer number (15115646945).

Almost surely, 2^340405075337 is an apocalyptic number.

It is an amenable number.

340405075337 is a deficient number, since it is larger than the sum of its proper divisors (22370451343).

340405075337 is a wasteful number, since it uses less digits than its factorization.

340405075337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 41.

The spelling of 340405075337 in words is "three hundred forty billion, four hundred five million, seventy-five thousand, three hundred thirty-seven".