3810400 has 72 divisors (see below), whose sum is σ = 10171224. Its totient is φ = 1382400.

The previous prime is 3810383. The next prime is 3810403. The reversal of 3810400 is 40183.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3810403) 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, 8584 + ... + 9016.

It is an arithmetic number, because the mean of its divisors is an integer number (141267).

Almost surely, 2^3810400 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 3810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085612).

3810400 is an abundant number, since it is smaller than the sum of its proper divisors (6360824).

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

3810400 is a wasteful number, since it uses less digits than its factorization.

3810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3810400 is about 1952.0245900091. The cubic root of 3810400 is about 156.1913059548.

Subtracting from 3810400 its product of nonzero digits (96), we obtain a square (3810304 = 1952²).

Adding to 3810400 its reverse (40183), we get a palindrome (3850583).

The spelling of 3810400 in words is "three million, eight hundred ten thousand, four hundred".