3441432000 has 224 divisors, whose sum is σ = 11963278080. Its totient is φ = 869299200.

The previous prime is 3441431989. The next prime is 3441432031. The reversal of 3441432000 is 2341443.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 452227 + ... + 459773.

Almost surely, 2^3441432000 is an apocalyptic number.

3441432000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981639040).

3441432000 is an abundant number, since it is smaller than the sum of its proper divisors (8521846080).

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

3441432000 is a wasteful number, since it uses less digits than its factorization.

3441432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3441432000 is about 58663.7196229492. The cubic root of 3441432000 is about 1509.7779010504. Note that the first 3 decimals are identical.

Adding to 3441432000 its reverse (2341443), we get a palindrome (3443773443).

The spelling of 3441432000 in words is "three billion, four hundred forty-one million, four hundred thirty-two thousand".