3320021120 has 128 divisors (see below), whose sum is σ = 9050635440. Its totient is φ = 1153695744.

The previous prime is 3320021083. The next prime is 3320021141. The reversal of 3320021120 is 211200233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2372858944 + 947162176 = 48712^2 + 30776^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3320021120² = 22045080474492108800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3320021095 and 3320021104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 129704 + ... + 153176.

Almost surely, 2^3320021120 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 3320021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525317720).

3320021120 is an abundant number, since it is smaller than the sum of its proper divisors (5730614320).

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

3320021120 is a wasteful number, since it uses less digits than its factorization.

3320021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23522 (or 23510 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3320021120 is about 57619.6244347358. The cubic root of 3320021120 is about 1491.8103485218.

Adding to 3320021120 its reverse (211200233), we get a palindrome (3531221353).

The spelling of 3320021120 in words is "three billion, three hundred twenty million, twenty-one thousand, one hundred twenty".