3449824320 has 224 divisors, whose sum is σ = 11183477760. Its totient is φ = 900864000.

The previous prime is 3449824289. The next prime is 3449824321. The reversal of 3449824320 is 234289443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3449824321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13744195 + ... + 13744445.

It is an arithmetic number, because the mean of its divisors is an integer number (49926240).

Almost surely, 2^3449824320 is an apocalyptic number.

3449824320 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 3449824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591738880).

3449824320 is an abundant number, since it is smaller than the sum of its proper divisors (7733653440).

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

3449824320 is a wasteful number, since it uses less digits than its factorization.

3449824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3449824320 is about 58735.2051158417. The cubic root of 3449824320 is about 1511.0041593534.

The spelling of 3449824320 in words is "three billion, four hundred forty-nine million, eight hundred twenty-four thousand, three hundred twenty".