3543422400 has 252 divisors, whose sum is σ = 14393734992. Its totient is φ = 809902080.

The previous prime is 3543422369. The next prime is 3543422411. The reversal of 3543422400 is 42243453.

3543422400 is a `hidden beast` number, since 3 + 5 + 434 + 224 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83224 + ... + 118376.

It is an arithmetic number, because the mean of its divisors is an integer number (57117996).

Almost surely, 2^3543422400 is an apocalyptic number.

3543422400 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 3543422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196867496).

3543422400 is an abundant number, since it is smaller than the sum of its proper divisors (10850312592).

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

3543422400 is a wasteful number, since it uses less digits than its factorization.

3543422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35188 (or 35170 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3543422400 is about 59526.6528539947. The cubic root of 3543422400 is about 1524.5475536763.

Adding to 3543422400 its reverse (42243453), we get a palindrome (3585665853).

The spelling of 3543422400 in words is "three billion, five hundred forty-three million, four hundred twenty-two thousand, four hundred".