3227028304896 has 704 divisors, whose sum is σ = 10667135128320. Its totient is φ = 967458816000.

The previous prime is 3227028304891. The next prime is 3227028304901. The reversal of 3227028304896 is 6984038207223.

3227028304896 is a `hidden beast` number, since 3 + 2 + 270 + 283 + 0 + 4 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (3227028304891) and next prime (3227028304901).

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×3227028304896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3227028304891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2488070520 + ... + 2488071816.

It is an arithmetic number, because the mean of its divisors is an integer number (15152180580).

Almost surely, 2^{3227028304896} is an apocalyptic number.

3227028304896 is a gapful number since it is divisible by the number (36) 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 3227028304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333567564160).

3227028304896 is an abundant number, since it is smaller than the sum of its proper divisors (7440106823424).

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

3227028304896 is a wasteful number, since it uses less digits than its factorization.

3227028304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3227028304896 in words is "three trillion, two hundred twenty-seven billion, twenty-eight million, three hundred four thousand, eight hundred ninety-six".