3856400 has 60 divisors (see below), whose sum is σ = 9594624. Its totient is φ = 1488000.

The previous prime is 3856393. The next prime is 3856403. The reversal of 3856400 is 46583.

3856400 is nontrivially palindromic in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 3856400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3856403) 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, 12245 + ... + 12555.

Almost surely, 2^3856400 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 3856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797312).

3856400 is an abundant number, since it is smaller than the sum of its proper divisors (5738224).

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

3856400 is a wasteful number, since it uses less digits than its factorization.

3856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3856400 is about 1963.7718808456. The cubic root of 3856400 is about 156.8173189950.

The spelling of 3856400 in words is "three million, eight hundred fifty-six thousand, four hundred".