3201424000 has 128 divisors (see below), whose sum is σ = 8379259200. Its totient is φ = 1213056000.

The previous prime is 3201423913. The next prime is 3201424043. The reversal of 3201424000 is 4241023.

3201424000 is digitally balanced in base 2, because in such base 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298735 + ... + 309265.

Almost surely, 2^3201424000 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 3201424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189629600).

3201424000 is an abundant number, since it is smaller than the sum of its proper divisors (5177835200).

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

3201424000 is a wasteful number, since it uses less digits than its factorization.

3201424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10579 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3201424000 is about 56581.1275956922. The cubic root of 3201424000 is about 1473.8311529095.

Adding to 3201424000 its reverse (4241023), we get a palindrome (3205665023).

The spelling of 3201424000 in words is "three billion, two hundred one million, four hundred twenty-four thousand".