344113132320 has 432 divisors, whose sum is σ = 1290484901160. Its totient is φ = 83384598528.

The previous prime is 344113132273. The next prime is 344113132343. The reversal of 344113132320 is 23231311443.

It is a happy number.

344113132320 is a `hidden beast` number, since 3 + 4 + 411 + 3 + 13 + 232 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 218227253904 + 125885878416 = 467148^2 + 354804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12054384 + ... + 12082896.

Almost surely, 2^344113132320 is an apocalyptic number.

344113132320 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 344113132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645242450580).

344113132320 is an abundant number, since it is smaller than the sum of its proper divisors (946371768840).

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

344113132320 is a wasteful number, since it uses less digits than its factorization.

344113132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28597 (or 28569 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 344113132320 its reverse (23231311443), we get a palindrome (367344443763).

The spelling of 344113132320 in words is "three hundred forty-four billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".