3001003920 has 120 divisors (see below), whose sum is σ = 10088747136. Its totient is φ = 799444224.

The previous prime is 3001003919. The next prime is 3001003961. The reversal of 3001003920 is 293001003.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3001003893 and 3001003902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069239 + ... + 1072041.

Almost surely, 2^3001003920 is an apocalyptic number.

3001003920 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 3001003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044373568).

3001003920 is an abundant number, since it is smaller than the sum of its proper divisors (7087743216).

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

3001003920 is a wasteful number, since it uses less digits than its factorization.

3001003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3001003920 is about 54781.4194777755. The cubic root of 3001003920 is about 1442.4104304974.

Adding to 3001003920 its reverse (293001003), we get a palindrome (3294004923).

The spelling of 3001003920 in words is "three billion, one million, three thousand, nine hundred twenty".