341353509120 has 576 divisors, whose sum is σ = 1346646067200. Its totient is φ = 81311662080.

The previous prime is 341353509109. The next prime is 341353509149. The reversal of 341353509120 is 21905353143.

341353509120 is a `hidden beast` number, since 3 + 4 + 13 + 535 + 0 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×341353509120³ (a number of 36 digits) contains 333 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 63 ways as a sum of consecutive naturals, for example, 13915426 + ... + 13939934.

It is an arithmetic number, because the mean of its divisors is an integer number (2337927200).

Almost surely, 2^341353509120 is an apocalyptic number.

341353509120 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 341353509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673323033600).

341353509120 is an abundant number, since it is smaller than the sum of its proper divisors (1005292558080).

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

341353509120 is a wasteful number, since it uses less digits than its factorization.

341353509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24583 (or 24563 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 341353509120 in words is "three hundred forty-one billion, three hundred fifty-three million, five hundred nine thousand, one hundred twenty".