3221670604320 has 216 divisors, whose sum is σ = 12788881982604. Its totient is φ = 736381836288.

The previous prime is 3221670604253. The next prime is 3221670604349. The reversal of 3221670604320 is 234060761223.

3221670604320 is a `hidden beast` number, since 3 + 2 + 2 + 16 + 7 + 0 + 604 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3209357595024 + 12313009296 = 1791468^2 + 110964^2 .

It is a super-2 number, since 2×3221670604320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22758739 + ... + 22899858.

Almost surely, 2^{3221670604320} is an apocalyptic number.

3221670604320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3221670604320 is an abundant number, since it is smaller than the sum of its proper divisors (9567211378284).

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

3221670604320 is a wasteful number, since it uses less digits than its factorization.

3221670604320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45658632 (or 45658614 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 3221670604320 in words is "three trillion, two hundred twenty-one billion, six hundred seventy million, six hundred four thousand, three hundred twenty".