3836800 has 96 divisors (see below), whose sum is σ = 10434600. Its totient is φ = 1382400.

The previous prime is 3836771. The next prime is 3836801. The reversal of 3836800 is 86383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35146 + ... + 35254.

Almost surely, 2^3836800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217300).

3836800 is an abundant number, since it is smaller than the sum of its proper divisors (6597800).

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

3836800 is a wasteful number, since it uses less digits than its factorization.

3836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3836800 is about 1958.7751274712. The cubic root of 3836800 is about 156.5511950289.

The spelling of 3836800 in words is "three million, eight hundred thirty-six thousand, eight hundred".