3221233920 has 180 divisors, whose sum is σ = 11526535020. Its totient is φ = 858968064.

The previous prime is 3221233919. The next prime is 3221233937. The reversal of 3221233920 is 293321223.

3221233920 is a `hidden beast` number, since 322 + 1 + 2 + 339 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1489342464 + 1731891456 = 38592^2 + 41616^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88146 + ... + 119214.

Almost surely, 2^3221233920 is an apocalyptic number.

3221233920 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 3221233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763267510).

3221233920 is an abundant number, since it is smaller than the sum of its proper divisors (8305301100).

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

3221233920 is an equidigital number, since it uses as much as digits as its factorization.

3221233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31102 (or 31079 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3221233920 is about 56755.9152864263. The cubic root of 3221233920 is about 1476.8648510699.

The spelling of 3221233920 in words is "three billion, two hundred twenty-one million, two hundred thirty-three thousand, nine hundred twenty".