341384400 has 720 divisors, whose sum is σ = 1535139840. Its totient is φ = 68428800.

The previous prime is 341384387. The next prime is 341384447. The reversal of 341384400 is 4483143.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11012385 + ... + 11012415.

Almost surely, 2^341384400 is an apocalyptic number.

341384400 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 341384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767569920).

341384400 is an abundant number, since it is smaller than the sum of its proper divisors (1193755440).

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

341384400 is a wasteful number, since it uses less digits than its factorization.

341384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 341384400 is about 18476.5905945875. The cubic root of 341384400 is about 698.8992222717.

The spelling of 341384400 in words is "three hundred forty-one million, three hundred eighty-four thousand, four hundred".