344400334500 has 192 divisors, whose sum is σ = 1019072710656. Its totient is φ = 90361814400.

The previous prime is 344400334493. The next prime is 344400334517. The reversal of 344400334500 is 5433004443.

It is a super-2 number, since 2×344400334500² (a number of 24 digits) contains 22 as substring.

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

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, 119292057 + ... + 119294943.

It is an arithmetic number, because the mean of its divisors is an integer number (5307670368).

Almost surely, 2^344400334500 is an apocalyptic number.

344400334500 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 344400334500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509536355328).

344400334500 is an abundant number, since it is smaller than the sum of its proper divisors (674672376156).

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

344400334500 is a wasteful number, since it uses less digits than its factorization.

344400334500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 344400334500 its reverse (5433004443), we get a palindrome (349833338943).

The spelling of 344400334500 in words is "three hundred forty-four billion, four hundred million, three hundred thirty-four thousand, five hundred".