3403814400 has 900 divisors, whose sum is σ = 14873270148. Its totient is φ = 766402560.

The previous prime is 3403814387. The next prime is 3403814429. The reversal of 3403814400 is 44183043.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50803167 + ... + 50803233.

Almost surely, 2^3403814400 is an apocalyptic number.

3403814400 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 3403814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436635074).

3403814400 is an abundant number, since it is smaller than the sum of its proper divisors (11469455748).

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

3403814400 is an equidigital number, since it uses as much as digits as its factorization.

3403814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3403814400 is about 58342.2179900627. The cubic root of 3403814400 is about 1504.2567088598.

Adding to 3403814400 its reverse (44183043), we get a palindrome (3447997443).

The spelling of 3403814400 in words is "three billion, four hundred three million, eight hundred fourteen thousand, four hundred".