344401223100 has 216 divisors, whose sum is σ = 1106147004144. Its totient is φ = 82663680000.

The previous prime is 344401223077. The next prime is 344401223113. The reversal of 344401223100 is 1322104443.

It is a super-2 number, since 2×344401223100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 3619332 + ... + 3713268.

Almost surely, 2^344401223100 is an apocalyptic number.

344401223100 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 344401223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553073502072).

344401223100 is an abundant number, since it is smaller than the sum of its proper divisors (761745781044).

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

344401223100 is a wasteful number, since it uses less digits than its factorization.

344401223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94077 (or 94059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 344401223100 its reverse (1322104443), we get a palindrome (345723327543).

The spelling of 344401223100 in words is "three hundred forty-four billion, four hundred one million, two hundred twenty-three thousand, one hundred".