3443322400 has 144 divisors (see below), whose sum is σ = 9739626624. Its totient is φ = 1164257280.

The previous prime is 3443322397. The next prime is 3443322403. The reversal of 3443322400 is 42233443.

3443322400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3443322397) and next prime (3443322403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3443322403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404589 + ... + 413011.

It is an arithmetic number, because the mean of its divisors is an integer number (67636296).

Almost surely, 2^3443322400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3443322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869813312).

3443322400 is an abundant number, since it is smaller than the sum of its proper divisors (6296304224).

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

3443322400 is a wasteful number, since it uses less digits than its factorization.

3443322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3443322400 is about 58679.8295839380. The cubic root of 3443322400 is about 1510.0542939120.

Adding to 3443322400 its reverse (42233443), we get a palindrome (3485555843).

The spelling of 3443322400 in words is "three billion, four hundred forty-three million, three hundred twenty-two thousand, four hundred".