344012215440 has 320 divisors, whose sum is σ = 1153958141952. Its totient is φ = 84594585600.

The previous prime is 344012215429. The next prime is 344012215499. The reversal of 344012215440 is 44512210443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 344012215398 and 344012215407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13103607 + ... + 13129833.

Almost surely, 2^344012215440 is an apocalyptic number.

344012215440 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 344012215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576979070976).

344012215440 is an abundant number, since it is smaller than the sum of its proper divisors (809945926512).

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

344012215440 is a wasteful number, since it uses less digits than its factorization.

344012215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26358 (or 26352 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 344012215440 its reverse (44512210443), we get a palindrome (388524425883).

The spelling of 344012215440 in words is "three hundred forty-four billion, twelve million, two hundred fifteen thousand, four hundred forty".