3878400 has 120 divisors (see below), whose sum is σ = 12938904. Its totient is φ = 1024000.

The previous prime is 3878389. The next prime is 3878401. The reversal of 3878400 is 48783.

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 (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3878401) 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, 38350 + ... + 38450.

Almost surely, 2^3878400 is an apocalyptic number.

3878400 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 3878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469452).

3878400 is an abundant number, since it is smaller than the sum of its proper divisors (9060504).

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

3878400 is a wasteful number, since it uses less digits than its factorization.

3878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3878400 is about 1969.3653800146. The cubic root of 3878400 is about 157.1149576601.

Subtracting from 3878400 its product of nonzero digits (5376), we obtain a square (3873024 = 1968²).

It can be divided in two parts, 3878 and 400, that added together give a triangular number (4278 = T₉₂).

The spelling of 3878400 in words is "three million, eight hundred seventy-eight thousand, four hundred".