3139200 has 144 divisors (see below), whose sum is σ = 11304150. Its totient is φ = 829440.

The previous prime is 3139193. The next prime is 3139207. The reversal of 3139200 is 29313.

3139200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3139193) and next prime (3139207).

It can be written as a sum of positive squares in 3 ways, for example, as 2585664 + 553536 = 1608^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3139207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28746 + ... + 28854.

Almost surely, 2^3139200 is an apocalyptic number.

3139200 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 3139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652075).

3139200 is an abundant number, since it is smaller than the sum of its proper divisors (8164950).

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

3139200 is a wasteful number, since it uses less digits than its factorization.

3139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3139200 is about 1771.7787672280. The cubic root of 3139200 is about 146.4219979486.

The spelling of 3139200 in words is "three million, one hundred thirty-nine thousand, two hundred".