341638560 has 336 divisors, whose sum is σ = 1264251240. Its totient is φ = 87091200.

The previous prime is 341638529. The next prime is 341638597. The reversal of 341638560 is 65836143.

341638560 is a `hidden beast` number, since 34 + 1 + 63 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 333135504 + 8503056 = 18252^2 + 2916^2 .

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 55 ways as a sum of consecutive naturals, for example, 3382510 + ... + 3382610.

Almost surely, 2^341638560 is an apocalyptic number.

341638560 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 341638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632125620).

341638560 is an abundant number, since it is smaller than the sum of its proper divisors (922612680).

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

341638560 is a wasteful number, since it uses less digits than its factorization.

341638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 341638560 is about 18483.4672072098. The cubic root of 341638560 is about 699.0726222692.

The spelling of 341638560 in words is "three hundred forty-one million, six hundred thirty-eight thousand, five hundred sixty".