3442432000 has 384 divisors, whose sum is σ = 10486869120. Its totient is φ = 1101004800.

The previous prime is 3442431997. The next prime is 3442432039. The reversal of 3442432000 is 2342443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30463944 + ... + 30464056.

It is an arithmetic number, because the mean of its divisors is an integer number (27309555).

Almost surely, 2^3442432000 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 3442432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243434560).

3442432000 is an abundant number, since it is smaller than the sum of its proper divisors (7044437120).

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

3442432000 is a wasteful number, since it uses less digits than its factorization.

3442432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3442432000 is about 58672.2421593039. The cubic root of 3442432000 is about 1509.9241223220.

Adding to 3442432000 its reverse (2342443), we get a palindrome (3444774443).

The spelling of 3442432000 in words is "three billion, four hundred forty-two million, four hundred thirty-two thousand".