341188128 has 72 divisors (see below), whose sum is σ = 986210316. Its totient is φ = 111859200.

The previous prime is 341188121. The next prime is 341188129. The reversal of 341188128 is 821881143.

It can be written as a sum of positive squares in 2 ways, for example, as 341067024 + 121104 = 18468^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 341188092 and 341188101.

It is not an unprimeable number, because it can be changed into a prime (341188121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7858 + ... + 27278.

Almost surely, 2^341188128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493105158).

341188128 is an abundant number, since it is smaller than the sum of its proper divisors (645022188).

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

341188128 is a wasteful number, since it uses less digits than its factorization.

341188128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19498 (or 19487 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 341188128 is about 18471.2784614385. The cubic root of 341188128 is about 698.7652573092.

The spelling of 341188128 in words is "three hundred forty-one million, one hundred eighty-eight thousand, one hundred twenty-eight".