344100414020100 has 72 divisors (see below), whose sum is σ = 995599158492288. Its totient is φ = 91759929705600.

The previous prime is 344100414020029. The next prime is 344100414020113. The reversal of 344100414020100 is 1020414001443.

It is a super-3 number, since 3×344100414020100³ (a number of 45 digits) contains 333 as substring.

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, 230534190 + ... + 232022010.

Almost surely, 2^{344100414020100} is an apocalyptic number.

344100414020100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344100414020100 is an abundant number, since it is smaller than the sum of its proper divisors (651498744472188).

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

344100414020100 is a wasteful number, since it uses less digits than its factorization.

344100414020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258765 (or 2258758 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 344100414020100 its reverse (1020414001443), we get a palindrome (345120828021543).

The spelling of 344100414020100 in words is "three hundred forty-four trillion, one hundred billion, four hundred fourteen million, twenty thousand, one hundred".