3001920 has 112 divisors (see below), whose sum is σ = 9875520. Its totient is φ = 772096.

The previous prime is 3001919. The next prime is 3001927. The reversal of 3001920 is 291003.

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 3001920.

It is not an unprimeable number, because it can be changed into a prime (3001927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50851 + ... + 50909.

Almost surely, 2^3001920 is an apocalyptic number.

3001920 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 3001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937760).

3001920 is an abundant number, since it is smaller than the sum of its proper divisors (6873600).

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

3001920 is a wasteful number, since it uses less digits than its factorization.

3001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3001920 is about 1732.6049751747. The cubic root of 3001920 is about 144.2557184601.

Adding to 3001920 its reverse (291003), we get a palindrome (3292923).

The spelling of 3001920 in words is "three million, one thousand, nine hundred twenty".