3227126400 has 384 divisors, whose sum is σ = 12111724800. Its totient is φ = 838656000.

The previous prime is 3227126387. The next prime is 3227126401. The reversal of 3227126400 is 46217223.

3227126400 is a `hidden beast` number, since 3 + 2 + 2 + 7 + 12 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3227126401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3541945 + ... + 3542855.

It is an arithmetic number, because the mean of its divisors is an integer number (31540950).

Almost surely, 2^3227126400 is an apocalyptic number.

3227126400 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 3227126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055862400).

3227126400 is an abundant number, since it is smaller than the sum of its proper divisors (8884598400).

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

3227126400 is a wasteful number, since it uses less digits than its factorization.

3227126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3227126400 is about 56807.8022810247. The cubic root of 3227126400 is about 1477.7648266568.

The spelling of 3227126400 in words is "three billion, two hundred twenty-seven million, one hundred twenty-six thousand, four hundred".