341938000 has 160 divisors (see below), whose sum is σ = 893112480. Its totient is φ = 126156800.

The previous prime is 341937997. The next prime is 341938007. The reversal of 341938000 is 839143.

It can be written as a sum of positive squares in 16 ways, for example, as 324432144 + 17505856 = 18012^2 + 4184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 341938000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341938007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3025944 + ... + 3026056.

It is an arithmetic number, because the mean of its divisors is an integer number (5581953).

Almost surely, 2^341938000 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 341938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446556240).

341938000 is an abundant number, since it is smaller than the sum of its proper divisors (551174480).

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

341938000 is a wasteful number, since it uses less digits than its factorization.

341938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 341938000 is about 18491.5656449096. The cubic root of 341938000 is about 699.2768041173.

The spelling of 341938000 in words is "three hundred forty-one million, nine hundred thirty-eight thousand".