3838816800 has 1296 divisors, whose sum is σ = 18153338112. Its totient is φ = 783820800.

The previous prime is 3838816799. The next prime is 3838816811. The reversal of 3838816800 is 86188383.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 123832785 + ... + 123832815.

Almost surely, 2^3838816800 is an apocalyptic number.

3838816800 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 3838816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9076669056).

3838816800 is an abundant number, since it is smaller than the sum of its proper divisors (14314521312).

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

3838816800 is a wasteful number, since it uses less digits than its factorization.

3838816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3838816800 is about 61958.1858998470. The cubic root of 3838816800 is about 1565.7862041333.

The spelling of 3838816800 in words is "three billion, eight hundred thirty-eight million, eight hundred sixteen thousand, eight hundred".