340868736 has 224 divisors, whose sum is σ = 1100366820. Its totient is φ = 104509440.

The previous prime is 340868729. The next prime is 340868761. The reversal of 340868736 is 637868043.

It can be written as a sum of positive squares in 2 ways, for example, as 337089600 + 3779136 = 18360^2 + 1944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 340868691 and 340868700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1212916 + ... + 1213196.

Almost surely, 2^340868736 is an apocalyptic number.

340868736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550183410).

340868736 is an abundant number, since it is smaller than the sum of its proper divisors (759498084).

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

340868736 is an equidigital number, since it uses as much as digits as its factorization.

340868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 340868736 is about 18462.6307984534. The cubic root of 340868736 is about 698.5471472287.

The spelling of 340868736 in words is "three hundred forty million, eight hundred sixty-eight thousand, seven hundred thirty-six".