3147920 has 60 divisors (see below), whose sum is σ = 7795260. Its totient is φ = 1181952.

The previous prime is 3147899. The next prime is 3147929. The reversal of 3147920 is 297413.

It can be written as a sum of positive squares in 2 ways, for example, as 1669264 + 1478656 = 1292^2 + 1216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3147920.

It is not an unprimeable number, because it can be changed into a prime (3147929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28826 + ... + 28934.

It is an arithmetic number, because the mean of its divisors is an integer number (129921).

Almost surely, 2^3147920 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 3147920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897630).

3147920 is an abundant number, since it is smaller than the sum of its proper divisors (4647340).

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

3147920 is a wasteful number, since it uses less digits than its factorization.

3147920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 3147920 is about 1774.2378645492. The cubic root of 3147920 is about 146.5574485327.

The spelling of 3147920 in words is "three million, one hundred forty-seven thousand, nine hundred twenty".