3879200 has 72 divisors (see below), whose sum is σ = 10225908. Its totient is φ = 1428480.

The previous prime is 3879199. The next prime is 3879221. The reversal of 3879200 is 29783.

It can be written as a sum of positive squares in 6 ways, for example, as 795664 + 3083536 = 892^2 + 1756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10214 + ... + 10586.

Almost surely, 2^3879200 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 3879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112954).

3879200 is an abundant number, since it is smaller than the sum of its proper divisors (6346708).

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

3879200 is a wasteful number, since it uses less digits than its factorization.

3879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 3879200 is about 1969.5684806576. The cubic root of 3879200 is about 157.1257596510.

The spelling of 3879200 in words is "three million, eight hundred seventy-nine thousand, two hundred".