3162120 has 64 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 777984.

The previous prime is 3162101. The next prime is 3162143. The reversal of 3162120 is 212613.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3162120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547 + ... + 2573.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 2^3162120 is an apocalyptic number.

3162120 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 3162120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

3162120 is an abundant number, since it is smaller than the sum of its proper divisors (7059000).

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

3162120 is a wasteful number, since it uses less digits than its factorization.

3162120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3162120 is about 1778.2350800724. The cubic root of 3162120 is about 146.7774874094. Note that the first 3 decimals are identical.

Adding to 3162120 its reverse (212613), we get a palindrome (3374733).

The spelling of 3162120 in words is "three million, one hundred sixty-two thousand, one hundred twenty".