341809920 has 108 divisors (see below), whose sum is σ = 1182666576. Its totient is φ = 91146240.

The previous prime is 341809903. The next prime is 341809927. The reversal of 341809920 is 29908143.

341809920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (341809927) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3316 + ... + 26355.

Almost surely, 2^341809920 is an apocalyptic number.

341809920 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 341809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591333288).

341809920 is an abundant number, since it is smaller than the sum of its proper divisors (840856656).

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

341809920 is a wasteful number, since it uses less digits than its factorization.

341809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29698 (or 29681 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 341809920 is about 18488.1021200122. The cubic root of 341809920 is about 699.1894836498.

It can be divided in two parts, 34180 and 9920, that added together give a square (44100 = 210²).

The spelling of 341809920 in words is "three hundred forty-one million, eight hundred nine thousand, nine hundred twenty".