344124120330 has 80 divisors (see below), whose sum is σ = 925401403080. Its totient is φ = 91757518848.

The previous prime is 344124120313. The next prime is 344124120359. The reversal of 344124120330 is 33021421443.

344124120330 is a `hidden beast` number, since 3 + 4 + 412 + 41 + 203 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106903495521 + 237220624809 = 326961^2 + 487053^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 344124120294 and 344124120303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15943786 + ... + 15965354.

Almost surely, 2^344124120330 is an apocalyptic number.

344124120330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

344124120330 is an abundant number, since it is smaller than the sum of its proper divisors (581277282750).

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

344124120330 is a wasteful number, since it uses less digits than its factorization.

344124120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41285 (or 41276 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 344124120330 its reverse (33021421443), we get a palindrome (377145541773).

The spelling of 344124120330 in words is "three hundred forty-four billion, one hundred twenty-four million, one hundred twenty thousand, three hundred thirty".