3846400 has 54 divisors (see below), whose sum is σ = 9536282. Its totient is φ = 1536000.

The previous prime is 3846397. The next prime is 3846413. The reversal of 3846400 is 46483.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 3154176 = 832^2 + 1776^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6100 + ... + 6700.

Almost surely, 2^3846400 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 3846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768141).

3846400 is an abundant number, since it is smaller than the sum of its proper divisors (5689882).

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

3846400 is an equidigital number, since it uses as much as digits as its factorization.

3846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3846400 is about 1961.2241075410. The cubic root of 3846400 is about 156.6816544184.

The spelling of 3846400 in words is "three million, eight hundred forty-six thousand, four hundred".