344304010412240 has 120 divisors (see below), whose sum is σ = 830806548861600. Its totient is φ = 132691833012480.

The previous prime is 344304010412239. The next prime is 344304010412251. The reversal of 344304010412240 is 42214010403443.

It is a super-3 number, since 3×344304010412240³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344304010412197 and 344304010412206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7587311 + ... + 27316209.

It is an arithmetic number, because the mean of its divisors is an integer number (6923387907180).

Almost surely, 2^{344304010412240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344304010412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415403274430800).

344304010412240 is an abundant number, since it is smaller than the sum of its proper divisors (486502538449360).

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

344304010412240 is a wasteful number, since it uses less digits than its factorization.

344304010412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19729201 (or 19729164 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 344304010412240 its reverse (42214010403443), we get a palindrome (386518020815683).

The spelling of 344304010412240 in words is "three hundred forty-four trillion, three hundred four billion, ten million, four hundred twelve thousand, two hundred forty".