3854400 has 168 divisors, whose sum is σ = 13984224. Its totient is φ = 921600.

The previous prime is 3854387. The next prime is 3854429. The reversal of 3854400 is 44583.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 52764 + ... + 52836.

Almost surely, 2^3854400 is an apocalyptic number.

3854400 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 3854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992112).

3854400 is an abundant number, since it is smaller than the sum of its proper divisors (10129824).

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

3854400 is a wasteful number, since it uses less digits than its factorization.

3854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3854400 is about 1963.2625906893. The cubic root of 3854400 is about 156.7902048581.

Adding to 3854400 its reverse (44583), we get a palindrome (3898983).

The spelling of 3854400 in words is "three million, eight hundred fifty-four thousand, four hundred".