3147120 has 160 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 794880.

The previous prime is 3147101. The next prime is 3147121. The reversal of 3147120 is 217413.

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

It is a junction number, because it is equal to n+sod(n) for n = 3147093 and 3147102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3147121) 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 31 ways as a sum of consecutive naturals, for example, 66937 + ... + 66983.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

Almost surely, 2^3147120 is an apocalyptic number.

3147120 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 3147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

3147120 is an abundant number, since it is smaller than the sum of its proper divisors (8280720).

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

3147120 is a wasteful number, since it uses less digits than its factorization.

3147120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3147120 is about 1774.0124013095. The cubic root of 3147120 is about 146.5450323031.

The spelling of 3147120 in words is "three million, one hundred forty-seven thousand, one hundred twenty".