3227143550400 has 1680 divisors, whose sum is σ = 14849059813632. Its totient is φ = 667865088000.

The previous prime is 3227143550303. The next prime is 3227143550447. The reversal of 3227143550400 is 40553417223.

3227143550400 is a `hidden beast` number, since 3 + 2 + 2 + 7 + 143 + 5 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3303114712 + ... + 3303115688.

Almost surely, 2^{3227143550400} is an apocalyptic number.

3227143550400 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 3227143550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424529906816).

3227143550400 is an abundant number, since it is smaller than the sum of its proper divisors (11621916263232).

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

3227143550400 is a wasteful number, since it uses less digits than its factorization.

3227143550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 3227143550400 its reverse (40553417223), we get a palindrome (3267696967623).

The spelling of 3227143550400 in words is "three trillion, two hundred twenty-seven billion, one hundred forty-three million, five hundred fifty thousand, four hundred".