341790120 has 192 divisors, whose sum is σ = 1324926720. Its totient is φ = 74714112.

The previous prime is 341790109. The next prime is 341790131. The reversal of 341790120 is 21097143.

341790120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (341790109) and next prime (341790131).

It is a super-2 number, since 2×341790120² = 233640972259228800, which contains 22 as substring.

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, 55012 + ... + 60908.

It is an arithmetic number, because the mean of its divisors is an integer number (6900660).

Almost surely, 2^341790120 is an apocalyptic number.

341790120 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 341790120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662463360).

341790120 is an abundant number, since it is smaller than the sum of its proper divisors (983136600).

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

341790120 is a wasteful number, since it uses less digits than its factorization.

341790120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 341790120 is about 18487.5666327400. The cubic root of 341790120 is about 699.1759827553.

The spelling of 341790120 in words is "three hundred forty-one million, seven hundred ninety thousand, one hundred twenty".