3870400 has 84 divisors (see below), whose sum is σ = 9921240. Its totient is φ = 1484800.

The previous prime is 3870337. The next prime is 3870401. The reversal of 3870400 is 40783.

3870400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3870401) 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, 65571 + ... + 65629.

It is an arithmetic number, because the mean of its divisors is an integer number (118110).

Almost surely, 2^3870400 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 3870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960620).

3870400 is an abundant number, since it is smaller than the sum of its proper divisors (6050840).

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

3870400 is a wasteful number, since it uses less digits than its factorization.

3870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 3870400 is about 1967.3332203773. Note that the first 3 decimals coincide. The cubic root of 3870400 is about 157.0068559625.

The spelling of 3870400 in words is "three million, eight hundred seventy thousand, four hundred".