340017006735 has 96 divisors (see below), whose sum is σ = 677254376448. Its totient is φ = 154585428480.

The previous prime is 340017006733. The next prime is 340017006739. The reversal of 340017006735 is 537600710043.

It is not a de Polignac number, because 340017006735 - 2¹ = 340017006733 is a prime.

It is a super-2 number, since 2×340017006735² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 340017006735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340017006731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49830534 + ... + 49837356.

It is an arithmetic number, because the mean of its divisors is an integer number (7054733088).

Almost surely, 2^340017006735 is an apocalyptic number.

340017006735 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

340017006735 is a deficient number, since it is larger than the sum of its proper divisors (337237369713).

340017006735 is a wasteful number, since it uses less digits than its factorization.

340017006735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 340017006735 its reverse (537600710043), we get a palindrome (877617716778).

The spelling of 340017006735 in words is "three hundred forty billion, seventeen million, six thousand, seven hundred thirty-five".