3322113120 has 144 divisors (see below), whose sum is σ = 11379880512. Its totient is φ = 882524160.

The previous prime is 3322113107. The next prime is 3322113139. The reversal of 3322113120 is 213112233.

3322113120 is a `hidden beast` number, since 332 + 21 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3322113120² = 22072871164152268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3322113093 and 3322113102.

It is a congruent number.

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, 385984 + ... + 394496.

It is an arithmetic number, because the mean of its divisors is an integer number (79026948).

Almost surely, 2^3322113120 is an apocalyptic number.

3322113120 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 3322113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689940256).

3322113120 is an abundant number, since it is smaller than the sum of its proper divisors (8057767392).

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

3322113120 is a wasteful number, since it uses less digits than its factorization.

3322113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8805 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3322113120 is about 57637.7751132016. The cubic root of 3322113120 is about 1492.1236208236.

Adding to 3322113120 its reverse (213112233), we get a palindrome (3535225353).

It can be divided in two parts, 3322113 and 120, that added together give a palindrome (3322233).

The spelling of 3322113120 in words is "three billion, three hundred twenty-two million, one hundred thirteen thousand, one hundred twenty".