344666212262640 has 480 divisors, whose sum is σ = 1267078041815040. Its totient is φ = 83687765145600.

The previous prime is 344666212262639. The next prime is 344666212262651. The reversal of 344666212262640 is 46262212666443.

It is a super-3 number, since 3×344666212262640³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29042845 + ... + 39151235.

It is an arithmetic number, because the mean of its divisors is an integer number (2639745920448).

Almost surely, 2^{344666212262640} is an apocalyptic number.

344666212262640 is a gapful number since it is divisible by the number (30) 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 344666212262640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633539020907520).

344666212262640 is an abundant number, since it is smaller than the sum of its proper divisors (922411829552400).

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

344666212262640 is a wasteful number, since it uses less digits than its factorization.

344666212262640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10108533 (or 10108524 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 344666212262640 in words is "three hundred forty-four trillion, six hundred sixty-six billion, two hundred twelve million, two hundred sixty-two thousand, six hundred forty".