3843400 has 48 divisors (see below), whose sum is σ = 9753840. Its totient is φ = 1396800.

The previous prime is 3843379. The next prime is 3843407. The reversal of 3843400 is 43483.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3843407) 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, 1327 + ... + 3073.

It is an arithmetic number, because the mean of its divisors is an integer number (203205).

Almost surely, 2^3843400 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 3843400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876920).

3843400 is an abundant number, since it is smaller than the sum of its proper divisors (5910440).

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

3843400 is a wasteful number, since it uses less digits than its factorization.

3843400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3843400 is about 1960.4591298979. The cubic root of 3843400 is about 156.6409092004.

Subtracting from 3843400 its sum of digits (22), we obtain a triangular number (3843378 = T₂₇₇₂).

Adding to 3843400 its reverse (43483), we get a palindrome (3886883).

The spelling of 3843400 in words is "three million, eight hundred forty-three thousand, four hundred".