341680800 has 288 divisors, whose sum is σ = 1199923200. Its totient is φ = 84188160.

The previous prime is 341680777. The next prime is 341680817. The reversal of 341680800 is 8086143.

It is a happy number.

It is a super-3 number, since 3×341680800³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690337 + ... + 2690463.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2^341680800 is an apocalyptic number.

341680800 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 341680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

341680800 is an abundant number, since it is smaller than the sum of its proper divisors (858242400).

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

341680800 is a wasteful number, since it uses less digits than its factorization.

341680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 341680800 is about 18484.6098146539. The cubic root of 341680800 is about 699.1014320642.

The spelling of 341680800 in words is "three hundred forty-one million, six hundred eighty thousand, eight hundred".