341947800 has 144 divisors (see below), whose sum is σ = 1154256480. Its totient is φ = 90720000.

The previous prime is 341947789. The next prime is 341947813. The reversal of 341947800 is 8749143.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487450 + ... + 488150.

It is an arithmetic number, because the mean of its divisors is an integer number (8015670).

Almost surely, 2^341947800 is an apocalyptic number.

341947800 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 341947800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577128240).

341947800 is an abundant number, since it is smaller than the sum of its proper divisors (812308680).

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

341947800 is a wasteful number, since it uses less digits than its factorization.

341947800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 341947800 is about 18491.8306286857. The cubic root of 341947800 is about 699.2834845167.

The spelling of 341947800 in words is "three hundred forty-one million, nine hundred forty-seven thousand, eight hundred".