3201223680 has 528 divisors, whose sum is σ = 12017101824. Its totient is φ = 816168960.

The previous prime is 3201223679. The next prime is 3201223693. The reversal of 3201223680 is 863221023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38568919 + ... + 38569001.

Almost surely, 2^3201223680 is an apocalyptic number.

3201223680 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 3201223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008550912).

3201223680 is an abundant number, since it is smaller than the sum of its proper divisors (8815878144).

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

3201223680 is an equidigital number, since it uses as much as digits as its factorization.

3201223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3201223680 is about 56579.3573664459. The cubic root of 3201223680 is about 1473.8004120044.

The spelling of 3201223680 in words is "three billion, two hundred one million, two hundred twenty-three thousand, six hundred eighty".