3201032120 has 128 divisors (see below), whose sum is σ = 8484315840. Its totient is φ = 1071575040.

The previous prime is 3201032099. The next prime is 3201032123. The reversal of 3201032120 is 212301023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3201032095 and 3201032104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201032123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3734732 + ... + 3735588.

Almost surely, 2^3201032120 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 3201032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242157920).

3201032120 is an abundant number, since it is smaller than the sum of its proper divisors (5283283720).

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

3201032120 is a wasteful number, since it uses less digits than its factorization.

3201032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1541 counting only the distinct ones).

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

The square root of 3201032120 is about 56577.6644975736. The cubic root of 3201032120 is about 1473.7710142004.

Adding to 3201032120 its reverse (212301023), we get a palindrome (3413333143).

It can be divided in two parts, 320103 and 2120, that added together give a palindrome (322223).

The spelling of 3201032120 in words is "three billion, two hundred one million, thirty-two thousand, one hundred twenty".