3852800 has 120 divisors (see below), whose sum is σ = 11162976. Its totient is φ = 1290240.

The previous prime is 3852787. The next prime is 3852809. The reversal of 3852800 is 82583.

It is a self number, because there is not a number n which added to its sum of digits gives 3852800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3852809) 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, 89579 + ... + 89621.

Almost surely, 2^3852800 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 3852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581488).

3852800 is an abundant number, since it is smaller than the sum of its proper divisors (7310176).

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

3852800 is an equidigital number, since it uses as much as digits as its factorization.

3852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 3852800 is about 1962.8550634216. The cubic root of 3852800 is about 156.7685067946.

The spelling of 3852800 in words is "three million, eight hundred fifty-two thousand, eight hundred".