3441208320 has 704 divisors, whose sum is σ = 13960212480. Its totient is φ = 796262400.

The previous prime is 3441208297. The next prime is 3441208339. The reversal of 3441208320 is 238021443.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47139804 + ... + 47139876.

Almost surely, 2^3441208320 is an apocalyptic number.

3441208320 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 3441208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980106240).

3441208320 is an abundant number, since it is smaller than the sum of its proper divisors (10519004160).

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

3441208320 is a wasteful number, since it uses less digits than its factorization.

3441208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3441208320 is about 58661.8131325652. The cubic root of 3441208320 is about 1509.7451904000.

Adding to 3441208320 its reverse (238021443), we get a palindrome (3679229763).

The spelling of 3441208320 in words is "three billion, four hundred forty-one million, two hundred eight thousand, three hundred twenty".