3423823200 has 216 divisors, whose sum is σ = 13798210608. Its totient is φ = 782576640.

The previous prime is 3423823181. The next prime is 3423823219. The reversal of 3423823200 is 23283243.

3423823200 is a `hidden beast` number, since 3 + 423 + 8 + 232 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3423823181) and next prime (3423823219).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16434 + ... + 84366.

Almost surely, 2^3423823200 is an apocalyptic number.

3423823200 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 3423823200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899105304).

3423823200 is an abundant number, since it is smaller than the sum of its proper divisors (10374387408).

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

3423823200 is a wasteful number, since it uses less digits than its factorization.

3423823200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67966 (or 67950 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3423823200 is about 58513.4446089102. Note that the first 3 decimals coincide. The cubic root of 3423823200 is about 1507.1984661296.

The spelling of 3423823200 in words is "three billion, four hundred twenty-three million, eight hundred twenty-three thousand, two hundred".