3844800 has 168 divisors, whose sum is σ = 14173200. Its totient is φ = 1013760.

The previous prime is 3844777. The next prime is 3844801. The reversal of 3844800 is 84483.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3844801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43156 + ... + 43244.

Almost surely, 2^3844800 is an apocalyptic number.

3844800 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 3844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086600).

3844800 is an abundant number, since it is smaller than the sum of its proper divisors (10328400).

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

3844800 is a wasteful number, since it uses less digits than its factorization.

3844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3844800 is about 1960.8161566042. The cubic root of 3844800 is about 156.6599262731.

It can be divided in two parts, 384 and 4800, that added together give a square (5184 = 72²).

The spelling of 3844800 in words is "three million, eight hundred forty-four thousand, eight hundred".