3823814400 has 432 divisors, whose sum is σ = 15061369344. Its totient is φ = 835338240.

The previous prime is 3823814339. The next prime is 3823814417. The reversal of 3823814400 is 44183283.

It is a congruent number.

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, 3090582 + ... + 3091818.

Almost surely, 2^3823814400 is an apocalyptic number.

3823814400 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 3823814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530684672).

3823814400 is an abundant number, since it is smaller than the sum of its proper divisors (11237554944).

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

3823814400 is a wasteful number, since it uses less digits than its factorization.

3823814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3823814400 is about 61836.9986335042. The cubic root of 3823814400 is about 1563.7438023756.

Adding to 3823814400 its reverse (44183283), we get a palindrome (3867997683).

The spelling of 3823814400 in words is "three billion, eight hundred twenty-three million, eight hundred fourteen thousand, four hundred".