344404430034120 has 96 divisors (see below), whose sum is σ = 1149566138131320. Its totient is φ = 89358987248640.

The previous prime is 344404430034113. The next prime is 344404430034149. The reversal of 344404430034120 is 21430034404443.

344404430034120 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 0 + 4 + 4 + 300 + 341 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 335872551234276 + 8531878799844 = 18326826^2 + 2920938^2 .

It is a super-2 number, since 2×344404430034120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12928080901 + ... + 12928107540.

Almost surely, 2^{344404430034120} is an apocalyptic number.

344404430034120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344404430034120 is an abundant number, since it is smaller than the sum of its proper divisors (805161708097200).

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

344404430034120 is a wasteful number, since it uses less digits than its factorization.

344404430034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25856188495 (or 25856188488 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 344404430034120 its reverse (21430034404443), we get a palindrome (365834464438563).

The spelling of 344404430034120 in words is "three hundred forty-four trillion, four hundred four billion, four hundred thirty million, thirty-four thousand, one hundred twenty".