341996310120960 has 3840 divisors, whose sum is σ = 1484382273454080. Its totient is φ = 74530160640000.

The previous prime is 341996310120937. The next prime is 341996310121003. The reversal of 341996310120960 is 69021013699143.

It is a happy number.

341996310120960 is a `hidden beast` number, since 3 + 419 + 9 + 6 + 3 + 10 + 1 + 209 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×341996310120960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 341996310120897 and 341996310120906.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 213614184160 + ... + 213614185760.

It is an arithmetic number, because the mean of its divisors is an integer number (386557883712).

Almost surely, 2^{341996310120960} is an apocalyptic number.

341996310120960 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 341996310120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742191136727040).

341996310120960 is an abundant number, since it is smaller than the sum of its proper divisors (1142385963333120).

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

341996310120960 is a wasteful number, since it uses less digits than its factorization.

341996310120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 341996310120960 in words is "three hundred forty-one trillion, nine hundred ninety-six billion, three hundred ten million, one hundred twenty thousand, nine hundred sixty".