3201012024 has 192 divisors, whose sum is σ = 9612963360. Its totient is φ = 885104640.

The previous prime is 3201012011. The next prime is 3201012029. The reversal of 3201012024 is 4202101023.

It is a junction number, because it is equal to n+sod(n) for n = 3201011994 and 3201012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201012029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9498384 + ... + 9498720.

Almost surely, 2^3201012024 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 3201012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806481680).

3201012024 is an abundant number, since it is smaller than the sum of its proper divisors (6411951336).

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

3201012024 is a wasteful number, since it uses less digits than its factorization.

3201012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3201012024 is about 56577.4869007099. The cubic root of 3201012024 is about 1473.7679300947.

Adding to 3201012024 its reverse (4202101023), we get a palindrome (7403113047).

The spelling of 3201012024 in words is "three billion, two hundred one million, twelve thousand, twenty-four".