3441422400 has 336 divisors, whose sum is σ = 12281172288. Its totient is φ = 838656000.

The previous prime is 3441422393. The next prime is 3441422441. The reversal of 3441422400 is 42241443.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 8174190 + ... + 8174610.

It is an arithmetic number, because the mean of its divisors is an integer number (36551108).

Almost surely, 2^3441422400 is an apocalyptic number.

3441422400 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 3441422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140586144).

3441422400 is an abundant number, since it is smaller than the sum of its proper divisors (8839749888).

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

3441422400 is a wasteful number, since it uses less digits than its factorization.

3441422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3441422400 is about 58663.6378006001. The cubic root of 3441422400 is about 1509.7764971890.

Adding to 3441422400 its reverse (42241443), we get a palindrome (3483663843).

The spelling of 3441422400 in words is "three billion, four hundred forty-one million, four hundred twenty-two thousand, four hundred".