344874827766 has 64 divisors (see below), whose sum is σ = 804702905856. Its totient is φ = 96490617600.

The previous prime is 344874827753. The next prime is 344874827779. The reversal of 344874827766 is 667728478443.

It is an interprime number because it is at equal distance from previous prime (344874827753) and next prime (344874827779).

It is a junction number, because it is equal to n+sod(n) for n = 344874827697 and 344874827706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011061 + ... + 1308431.

It is an arithmetic number, because the mean of its divisors is an integer number (12573482904).

Almost surely, 2^344874827766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344874827766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402351452928).

344874827766 is an abundant number, since it is smaller than the sum of its proper divisors (459828078090).

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

344874827766 is a wasteful number, since it uses less digits than its factorization.

344874827766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297957.

The product of its digits is 303464448, while the sum is 66.

The spelling of 344874827766 in words is "three hundred forty-four billion, eight hundred seventy-four million, eight hundred twenty-seven thousand, seven hundred sixty-six".