3221654400480 has 192 divisors, whose sum is σ = 10930755306240. Its totient is φ = 794963828736.

The previous prime is 3221654400457. The next prime is 3221654400509. The reversal of 3221654400480 is 840044561223.

3221654400480 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 2×3221654400480² (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 31 ways as a sum of consecutive naturals, for example, 3715417 + ... + 4499736.

It is an arithmetic number, because the mean of its divisors is an integer number (56931017220).

Almost surely, 2^{3221654400480} is an apocalyptic number.

3221654400480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3221654400480 is an abundant number, since it is smaller than the sum of its proper divisors (7709100905760).

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

3221654400480 is a wasteful number, since it uses less digits than its factorization.

3221654400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215233 (or 8215225 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 3221654400480 in words is "three trillion, two hundred twenty-one billion, six hundred fifty-four million, four hundred thousand, four hundred eighty".