3441646320 has 480 divisors, whose sum is σ = 13305934080. Its totient is φ = 731566080.

The previous prime is 3441646189. The next prime is 3441646337. The reversal of 3441646320 is 236461443.

3441646320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16311015 + ... + 16311225.

It is an arithmetic number, because the mean of its divisors is an integer number (27720696).

Almost surely, 2^3441646320 is an apocalyptic number.

3441646320 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 3441646320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652967040).

3441646320 is an abundant number, since it is smaller than the sum of its proper divisors (9864287760).

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

3441646320 is a wasteful number, since it uses less digits than its factorization.

3441646320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3441646320 is about 58665.5462771804. The cubic root of 3441646320 is about 1509.8092415780.

The spelling of 3441646320 in words is "three billion, four hundred forty-one million, six hundred forty-six thousand, three hundred twenty".