3201441120 has 288 divisors, whose sum is σ = 11204391744. Its totient is φ = 832204800.

The previous prime is 3201441107. The next prime is 3201441121. The reversal of 3201441120 is 211441023.

3201441120 is a `hidden beast` number, since 3 + 201 + 441 + 1 + 20 = 666.

3201441120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3201441093 and 3201441102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201441121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17687430 + ... + 17687610.

It is an arithmetic number, because the mean of its divisors is an integer number (38904138).

Almost surely, 2^3201441120 is an apocalyptic number.

3201441120 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 3201441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602195872).

3201441120 is an abundant number, since it is smaller than the sum of its proper divisors (8002950624).

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

3201441120 is a wasteful number, since it uses less digits than its factorization.

3201441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3201441120 is about 56581.2788826834. The cubic root of 3201441120 is about 1473.8337800680.

Adding to 3201441120 its reverse (211441023), we get a palindrome (3412882143).

The spelling of 3201441120 in words is "three billion, two hundred one million, four hundred forty-one thousand, one hundred twenty".