3812400 has 120 divisors (see below), whose sum is σ = 13607760. Its totient is φ = 1013760.

The previous prime is 3812399. The next prime is 3812441. The reversal of 3812400 is 42183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10624 + ... + 10976.

It is an arithmetic number, because the mean of its divisors is an integer number (113398).

Almost surely, 2^3812400 is an apocalyptic number.

3812400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803880).

3812400 is an abundant number, since it is smaller than the sum of its proper divisors (9795360).

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

3812400 is a wasteful number, since it uses less digits than its factorization.

3812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3812400 is about 1952.5368114328. The cubic root of 3812400 is about 156.2186283683.

Adding to 3812400 its reverse (42183), we get a palindrome (3854583).

The spelling of 3812400 in words is "three million, eight hundred twelve thousand, four hundred".