3227035968000 has 960 divisors, whose sum is σ = 12591711516384. Its totient is φ = 789626880000.

The previous prime is 3227035967917. The next prime is 3227035968029. The reversal of 3227035968000 is 8695307223.

3227035968000 is a `hidden beast` number, since 32 + 27 + 0 + 3 + 596 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2630780193024 + 596255774976 = 1621968^2 + 772176^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3227035968000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1355326810 + ... + 1355329190.

Almost surely, 2^{3227035968000} is an apocalyptic number.

3227035968000 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 3227035968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295855758192).

3227035968000 is an abundant number, since it is smaller than the sum of its proper divisors (9364675548384).

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

3227035968000 is a wasteful number, since it uses less digits than its factorization.

3227035968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3227035968000 in words is "three trillion, two hundred twenty-seven billion, thirty-five million, nine hundred sixty-eight thousand".