3891200 has 84 divisors (see below), whose sum is σ = 10157460. Its totient is φ = 1474560.

The previous prime is 3891197. The next prime is 3891203. The reversal of 3891200 is 21983.

It is an interprime number because it is at equal distance from previous prime (3891197) and next prime (3891203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3891203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204791 + ... + 204809.

Almost surely, 2^3891200 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 3891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078730).

3891200 is an abundant number, since it is smaller than the sum of its proper divisors (6266260).

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

3891200 is an equidigital number, since it uses as much as digits as its factorization.

3891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 3891200 is about 1972.6124809501. The cubic root of 3891200 is about 157.2876115986.

The spelling of 3891200 in words is "three million, eight hundred ninety-one thousand, two hundred".