341760960 has 168 divisors, whose sum is σ = 1198229760. Its totient is φ = 89376768.

The previous prime is 341760943. The next prime is 341760983. The reversal of 341760960 is 69067143.

341760960 is a `hidden beast` number, since 3 + 41 + 7 + 609 + 6 + 0 = 666.

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

It is a congruent number.

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, 151521 + ... + 153759.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2^341760960 is an apocalyptic number.

341760960 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 341760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599114880).

341760960 is an abundant number, since it is smaller than the sum of its proper divisors (856468800).

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

341760960 is a wasteful number, since it uses less digits than its factorization.

341760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 341760960 is about 18486.7779777873. Note that the first 3 decimals coincide. The cubic root of 341760960 is about 699.1560986702.

The spelling of 341760960 in words is "three hundred forty-one million, seven hundred sixty thousand, nine hundred sixty".