3141920 has 48 divisors (see below), whose sum is σ = 7552440. Its totient is φ = 1234944.

The previous prime is 3141913. The next prime is 3141937. The reversal of 3141920 is 291413.

3141920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 1281424 = 1364^2 + 1132^2 .

It is a super-2 number, since 2×3141920² = 19743322572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3141892 and 3141901.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11546 + ... + 11814.

Almost surely, 2^3141920 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 3141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776220).

3141920 is an abundant number, since it is smaller than the sum of its proper divisors (4410520).

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

3141920 is a wasteful number, since it uses less digits than its factorization.

3141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 3141920 is about 1772.5461912176. The cubic root of 3141920 is about 146.4642754781.

The spelling of 3141920 in words is "three million, one hundred forty-one thousand, nine hundred twenty".