3200263424 has 144 divisors (see below), whose sum is σ = 6993423360. Its totient is φ = 1457111040.

The previous prime is 3200263421. The next prime is 3200263441. The reversal of 3200263424 is 4243620023.

It is a junction number, because it is equal to n+sod(n) for n = 3200263393 and 3200263402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200263421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16244894 + ... + 16245090.

It is an arithmetic number, because the mean of its divisors is an integer number (48565440).

Almost surely, 2^3200263424 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 3200263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496711680).

3200263424 is an abundant number, since it is smaller than the sum of its proper divisors (3793159936).

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

3200263424 is a wasteful number, since it uses less digits than its factorization.

3200263424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3200263424 is about 56570.8708082172. The cubic root of 3200263424 is about 1473.6530342764.

Adding to 3200263424 its reverse (4243620023), we get a palindrome (7443883447).

The spelling of 3200263424 in words is "three billion, two hundred million, two hundred sixty-three thousand, four hundred twenty-four".