3220085952 has 168 divisors, whose sum is σ = 9882225600. Its totient is φ = 999433728.

The previous prime is 3220085941. The next prime is 3220085969. The reversal of 3220085952 is 2595800223.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643203 + ... + 648189.

Almost surely, 2^3220085952 is an apocalyptic number.

3220085952 is a gapful number since it is divisible by the number (32) 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 3220085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941112800).

3220085952 is an abundant number, since it is smaller than the sum of its proper divisors (6662139648).

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

3220085952 is a wasteful number, since it uses less digits than its factorization.

3220085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3220085952 is about 56745.8011838762. The cubic root of 3220085952 is about 1476.6893908715.

The spelling of 3220085952 in words is "three billion, two hundred twenty million, eighty-five thousand, nine hundred fifty-two".