3223468385280 has 1056 divisors, whose sum is σ = 13693058346240. Its totient is φ = 689940725760.

The previous prime is 3223468385261. The next prime is 3223468385299. The reversal of 3223468385280 is 825838643223.

3223468385280 is a `hidden beast` number, since 3 + 2 + 2 + 34 + 6 + 83 + 8 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3223468385261) and next prime (3223468385299).

It is a tau number, because it is divible by the number of its divisors (1056).

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, 151546486 + ... + 151567754.

Almost surely, 2^{3223468385280} is an apocalyptic number.

3223468385280 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 3223468385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846529173120).

3223468385280 is an abundant number, since it is smaller than the sum of its proper divisors (10469589960960).

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

3223468385280 is a wasteful number, since it uses less digits than its factorization.

3223468385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21347 (or 21326 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3223468385280 in words is "three trillion, two hundred twenty-three billion, four hundred sixty-eight million, three hundred eighty-five thousand, two hundred eighty".