3145120 has 48 divisors (see below), whose sum is σ = 8110368. Its totient is φ = 1143040.

The previous prime is 3145117. The next prime is 3145123. The reversal of 3145120 is 215413.

It is an interprime number because it is at equal distance from previous prime (3145117) and next prime (3145123).

It is a super-3 number, since 3×3145120³ = 93332503589597184000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3145094 and 3145103.

It is not an unprimeable number, because it can be changed into a prime (3145123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867 + ... + 2653.

It is an arithmetic number, because the mean of its divisors is an integer number (168966).

Almost surely, 2^3145120 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 3145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055184).

3145120 is an abundant number, since it is smaller than the sum of its proper divisors (4965248).

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

3145120 is a wasteful number, since it uses less digits than its factorization.

3145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 3145120 is about 1773.4486178066. The cubic root of 3145120 is about 146.5139825208.

The spelling of 3145120 in words is "three million, one hundred forty-five thousand, one hundred twenty".