33320220320 has 144 divisors (see below), whose sum is σ = 84999981528. Its totient is φ = 12337397760.

The previous prime is 33320220301. The next prime is 33320220377. The reversal of 33320220320 is 2302202333.

It can be written as a sum of positive squares in 12 ways, for example, as 2213137936 + 31107082384 = 47044^2 + 176372^2 .

It is a super-2 number, since 2×33320220320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33320220292 and 33320220301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2814734 + ... + 2826546.

Almost surely, 2^33320220320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33320220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42499990764).

33320220320 is an abundant number, since it is smaller than the sum of its proper divisors (51679761208).

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

33320220320 is a wasteful number, since it uses less digits than its factorization.

33320220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11923 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 33320220320 its reverse (2302202333), we get a palindrome (35622422653).

It can be divided in two parts, 33320 and 220320, that multiplied together give a square (7341062400 = 85680²).

The spelling of 33320220320 in words is "thirty-three billion, three hundred twenty million, two hundred twenty thousand, three hundred twenty".