3228860167680 has 1280 divisors, whose sum is σ = 12806668892160. Its totient is φ = 677262655488.

The previous prime is 3228860167633. The next prime is 3228860167691. The reversal of 3228860167680 is 867610688223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 3228860167680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12563658112 + ... + 12563658368.

It is an arithmetic number, because the mean of its divisors is an integer number (10005210072).

Almost surely, 2^{3228860167680} is an apocalyptic number.

3228860167680 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 3228860167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403334446080).

3228860167680 is an abundant number, since it is smaller than the sum of its proper divisors (9577808724480).

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

3228860167680 is a wasteful number, since it uses less digits than its factorization.

3228860167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 3228860167680 in words is "three trillion, two hundred twenty-eight billion, eight hundred sixty million, one hundred sixty-seven thousand, six hundred eighty".