3221765064 has 384 divisors, whose sum is σ = 11122732800. Its totient is φ = 846028800.

The previous prime is 3221765011. The next prime is 3221765069. The reversal of 3221765064 is 4605671223.

It is a super-2 number, since 2×3221765064² = 20759540255221848192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3221765069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31898614 + ... + 31898714.

It is an arithmetic number, because the mean of its divisors is an integer number (28965450).

Almost surely, 2^3221765064 is an apocalyptic number.

3221765064 is a gapful number since it is divisible by the number (34) 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 3221765064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561366400).

3221765064 is an abundant number, since it is smaller than the sum of its proper divisors (7900967736).

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

3221765064 is a wasteful number, since it uses less digits than its factorization.

3221765064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3221765064 is about 56760.5942886436. The cubic root of 3221765064 is about 1476.9460192199.

The spelling of 3221765064 in words is "three billion, two hundred twenty-one million, seven hundred sixty-five thousand, sixty-four".