3388320577280 has 144 divisors (see below), whose sum is σ = 8308569539424. Its totient is φ = 1323213373440.

The previous prime is 3388320577253. The next prime is 3388320577331. The reversal of 3388320577280 is 827750238833.

It is a super-2 number, since 2×3388320577280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134119850 + ... + 134145110.

Almost surely, 2^{3388320577280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388320577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154284769712).

3388320577280 is an abundant number, since it is smaller than the sum of its proper divisors (4920248962144).

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

3388320577280 is a wasteful number, since it uses less digits than its factorization.

3388320577280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27762 (or 27748 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 3388320577280 in words is "three trillion, three hundred eighty-eight billion, three hundred twenty million, five hundred seventy-seven thousand, two hundred eighty".