3814400 has 66 divisors (see below), whose sum is σ = 9518550. Its totient is φ = 1515520.

The previous prime is 3814397. The next prime is 3814403. The reversal of 3814400 is 44183.

It is an interprime number because it is at equal distance from previous prime (3814397) and next prime (3814403).

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 3810304 = 64^2 + 1952^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3814403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25526 + ... + 25674.

Almost surely, 2^3814400 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 3814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759275).

3814400 is an abundant number, since it is smaller than the sum of its proper divisors (5704150).

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

3814400 is a wasteful number, since it uses less digits than its factorization.

3814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3814400 is about 1953.0488985174. The cubic root of 3814400 is about 156.2459412279.

Adding to 3814400 its reverse (44183), we get a palindrome (3858583).

The spelling of 3814400 in words is "three million, eight hundred fourteen thousand, four hundred".