340590440736 has 1152 divisors, whose sum is σ = 1366955606016. Its totient is φ = 80800727040.

The previous prime is 340590440699. The next prime is 340590440791. The reversal of 340590440736 is 637044095043.

It is a junction number, because it is equal to n+sod(n) for n = 340590440691 and 340590440700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 276677241 + ... + 276678471.

It is an arithmetic number, because the mean of its divisors is an integer number (1186593408).

Almost surely, 2^340590440736 is an apocalyptic number.

340590440736 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 340590440736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683477803008).

340590440736 is an abundant number, since it is smaller than the sum of its proper divisors (1026365165280).

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

340590440736 is a wasteful number, since it uses less digits than its factorization.

340590440736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 340590440736 in words is "three hundred forty billion, five hundred ninety million, four hundred forty thousand, seven hundred thirty-six".