341324474400 has 1080 divisors, whose sum is σ = 1559538190980. Its totient is φ = 72007004160.

The previous prime is 341324474357. The next prime is 341324474417. The reversal of 341324474400 is 4474423143.

341324474400 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 244 + 7 + 4 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 140796051984 + 200528422416 = 375228^2 + 447804^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 41273466 + ... + 41281734.

Almost surely, 2^341324474400 is an apocalyptic number.

341324474400 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 341324474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779769095490).

341324474400 is an abundant number, since it is smaller than the sum of its proper divisors (1218213716580).

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

341324474400 is a wasteful number, since it uses less digits than its factorization.

341324474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 341324474400 its reverse (4474423143), we get a palindrome (345798897543).

The spelling of 341324474400 in words is "three hundred forty-one billion, three hundred twenty-four million, four hundred seventy-four thousand, four hundred".