341864640 has 336 divisors, whose sum is σ = 1324709568. Its totient is φ = 80289792.

The previous prime is 341864639. The next prime is 341864647. The reversal of 341864640 is 46468143.

341864640 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 6 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 341864595 and 341864604.

It is not an unprimeable number, because it can be changed into a prime (341864647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860922 + ... + 861318.

It is an arithmetic number, because the mean of its divisors is an integer number (3942588).

Almost surely, 2^341864640 is an apocalyptic number.

341864640 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 341864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662354784).

341864640 is an abundant number, since it is smaller than the sum of its proper divisors (982844928).

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

341864640 is a wasteful number, since it uses less digits than its factorization.

341864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 341864640 is about 18489.5819314553. The cubic root of 341864640 is about 699.2267925018.

The spelling of 341864640 in words is "three hundred forty-one million, eight hundred sixty-four thousand, six hundred forty".