3441504000 has 288 divisors, whose sum is σ = 12473959680. Its totient is φ = 834048000.

The previous prime is 3441503999. The next prime is 3441504047. The reversal of 3441504000 is 4051443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054371 + ... + 1057629.

It is an arithmetic number, because the mean of its divisors is an integer number (43312360).

Almost surely, 2^3441504000 is an apocalyptic number.

3441504000 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 3441504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236979840).

3441504000 is an abundant number, since it is smaller than the sum of its proper divisors (9032455680).

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

3441504000 is a wasteful number, since it uses less digits than its factorization.

3441504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3441504000 is about 58664.3332869300. Note that the first 3 decimals coincide. The cubic root of 3441504000 is about 1509.7884299282.

Adding to 3441504000 its reverse (4051443), we get a palindrome (3445555443).

The spelling of 3441504000 in words is "three billion, four hundred forty-one million, five hundred four thousand".