3228068568960 has 384 divisors, whose sum is σ = 11566868152320. Its totient is φ = 828679680000.

The previous prime is 3228068568947. The next prime is 3228068568973. The reversal of 3228068568960 is 698658608223.

3228068568960 is a `hidden beast` number, since 3 + 2 + 2 + 8 + 0 + 6 + 8 + 568 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3228068568947) and next prime (3228068568973).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34057635 + ... + 34152285.

It is an arithmetic number, because the mean of its divisors is an integer number (30122052480).

Almost surely, 2^{3228068568960} is an apocalyptic number.

3228068568960 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 3228068568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783434076160).

3228068568960 is an abundant number, since it is smaller than the sum of its proper divisors (8338799583360).

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

3228068568960 is a wasteful number, since it uses less digits than its factorization.

3228068568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94898 (or 94883 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 3228068568960 in words is "three trillion, two hundred twenty-eight billion, sixty-eight million, five hundred sixty-eight thousand, nine hundred sixty".