3200432000 has 128 divisors (see below), whose sum is σ = 7994825280. Its totient is φ = 1274112000.

The previous prime is 3200431987. The next prime is 3200432003. The reversal of 3200432000 is 2340023.

3200432000 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200432003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5071685 + ... + 5072315.

Almost surely, 2^3200432000 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 3200432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997412640).

3200432000 is an abundant number, since it is smaller than the sum of its proper divisors (4794393280).

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

3200432000 is an equidigital number, since it uses as much as digits as its factorization.

3200432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3200432000 is about 56572.3607426807. The cubic root of 3200432000 is about 1473.6789090393.

Adding to 3200432000 its reverse (2340023), we get a palindrome (3202772023).

The spelling of 3200432000 in words is "three billion, two hundred million, four hundred thirty-two thousand".