3321141120 has 768 divisors, whose sum is σ = 13610488320. Its totient is φ = 738017280.

The previous prime is 3321141101. The next prime is 3321141121. The reversal of 3321141120 is 211411233.

It is a super-2 number, since 2×3321141120² = 22059956677909708800, 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 = 3321141093 and 3321141102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321141121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62663014 + ... + 62663066.

It is an arithmetic number, because the mean of its divisors is an integer number (17721990).

Almost surely, 2^3321141120 is an apocalyptic number.

3321141120 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 3321141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805244160).

3321141120 is an abundant number, since it is smaller than the sum of its proper divisors (10289347200).

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

3321141120 is a wasteful number, since it uses less digits than its factorization.

3321141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3321141120 is about 57629.3425261819. The cubic root of 3321141120 is about 1491.9780823687.

Adding to 3321141120 its reverse (211411233), we get a palindrome (3532552353).

It can be divided in two parts, 3321 and 141120, that added together give a palindrome (144441).

The spelling of 3321141120 in words is "three billion, three hundred twenty-one million, one hundred forty-one thousand, one hundred twenty".