3441227328000 has 3200 divisors, whose sum is σ = 16483760257536. Its totient is φ = 692748288000.

The previous prime is 3441227327987. The next prime is 3441227328047. The reversal of 3441227328000 is 8237221443.

It is a happy number.

3441227328000 is a `hidden beast` number, since 344 + 12 + 27 + 3 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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 319 ways as a sum of consecutive naturals, for example, 14769215884 + ... + 14769216116.

Almost surely, 2^{3441227328000} is an apocalyptic number.

3441227328000 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 3441227328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241880128768).

3441227328000 is an abundant number, since it is smaller than the sum of its proper divisors (13042532929536).

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

3441227328000 is a wasteful number, since it uses less digits than its factorization.

3441227328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 3441227328000 in words is "three trillion, four hundred forty-one billion, two hundred twenty-seven million, three hundred twenty-eight thousand".