341482400 has 216 divisors, whose sum is σ = 1016872416. Its totient is φ = 109670400.

The previous prime is 341482397. The next prime is 341482433. The reversal of 341482400 is 4284143.

It is a super-2 number, since 2×341482400² = 233220459019520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 341482400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1618295 + ... + 1618505.

Almost surely, 2^341482400 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 341482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508436208).

341482400 is an abundant number, since it is smaller than the sum of its proper divisors (675390016).

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

341482400 is a wasteful number, since it uses less digits than its factorization.

341482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 341482400 is about 18479.2424087136. The cubic root of 341482400 is about 698.9660927076.

The spelling of 341482400 in words is "three hundred forty-one million, four hundred eighty-two thousand, four hundred".