3403144320 has 256 divisors, whose sum is σ = 11770375680. Its totient is φ = 832962560.

The previous prime is 3403144291. The next prime is 3403144357. The reversal of 3403144320 is 234413043.

3403144320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1336969 + ... + 1339511.

It is an arithmetic number, because the mean of its divisors is an integer number (45978030).

Almost surely, 2^3403144320 is an apocalyptic number.

3403144320 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 3403144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885187840).

3403144320 is an abundant number, since it is smaller than the sum of its proper divisors (8367231360).

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

3403144320 is a wasteful number, since it uses less digits than its factorization.

3403144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3403144320 is about 58336.4750392068. The cubic root of 3403144320 is about 1504.1579923056.

Adding to 3403144320 its reverse (234413043), we get a palindrome (3637557363).

The spelling of 3403144320 in words is "three billion, four hundred three million, one hundred forty-four thousand, three hundred twenty".