341961984 has 324 divisors, whose sum is σ = 1240460676. Its totient is φ = 89800704.

The previous prime is 341961967. The next prime is 341962009. The reversal of 341961984 is 489169143.

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 282240000 = 7728^2 + 16800^2 .

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1467532 + ... + 1467764.

Almost surely, 2^341961984 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 341961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620230338).

341961984 is an abundant number, since it is smaller than the sum of its proper divisors (898498692).

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

341961984 is a wasteful number, since it uses less digits than its factorization.

341961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 258 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 341961984 is about 18492.2141454181. The cubic root of 341961984 is about 699.2931531462.

The spelling of 341961984 in words is "three hundred forty-one million, nine hundred sixty-one thousand, nine hundred eighty-four".