341968000 has 256 divisors, whose sum is σ = 973814400. Its totient is φ = 118272000.

The previous prime is 341967973. The next prime is 341968007. The reversal of 341968000 is 869143.

It is a super-2 number, since 2×341968000² = 233884226048000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341968007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5103967 + ... + 5104033.

Almost surely, 2^341968000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486907200).

341968000 is an abundant number, since it is smaller than the sum of its proper divisors (631846400).

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

341968000 is a wasteful number, since it uses less digits than its factorization.

341968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 341968000 is about 18492.3768077551. The cubic root of 341968000 is about 699.2972539168.

The spelling of 341968000 in words is "three hundred forty-one million, nine hundred sixty-eight thousand".