3401440800 has 288 divisors, whose sum is σ = 11789870400. Its totient is φ = 849346560.

The previous prime is 3401440789. The next prime is 3401440829. The reversal of 3401440800 is 80441043.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4422816 + ... + 4423584.

It is an arithmetic number, because the mean of its divisors is an integer number (40937050).

Almost surely, 2^3401440800 is an apocalyptic number.

3401440800 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 3401440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894935200).

3401440800 is an abundant number, since it is smaller than the sum of its proper divisors (8388429600).

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

3401440800 is a wasteful number, since it uses less digits than its factorization.

3401440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3401440800 is about 58321.8723979263. The cubic root of 3401440800 is about 1503.9069704417.

Adding to 3401440800 its reverse (80441043), we get a palindrome (3481881843).

The spelling of 3401440800 in words is "three billion, four hundred one million, four hundred forty thousand, eight hundred".