3218228628480 has 132 divisors (see below), whose sum is σ = 11151078549312. Its totient is φ = 858194288640.

The previous prime is 3218228628479. The next prime is 3218228628529. The reversal of 3218228628480 is 848268228123.

3218228628480 is a `hidden beast` number, since 3 + 2 + 1 + 8 + 2 + 2 + 8 + 628 + 4 + 8 + 0 = 666.

3218228628480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3218228628480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34873936 + ... + 34966095.

Almost surely, 2^{3218228628480} is an apocalyptic number.

3218228628480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3218228628480 is an abundant number, since it is smaller than the sum of its proper divisors (7932849920832).

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

3218228628480 is a wasteful number, since it uses less digits than its factorization.

3218228628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69840062 (or 69840041 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 3218228628480 in words is "three trillion, two hundred eighteen billion, two hundred twenty-eight million, six hundred twenty-eight thousand, four hundred eighty".