3121840920 has 256 divisors, whose sum is σ = 10497185280. Its totient is φ = 736358400.

The previous prime is 3121840877. The next prime is 3121840921. The reversal of 3121840920 is 290481213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121840921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11031099 + ... + 11031381.

It is an arithmetic number, because the mean of its divisors is an integer number (41004630).

Almost surely, 2^3121840920 is an apocalyptic number.

3121840920 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 3121840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248592640).

3121840920 is an abundant number, since it is smaller than the sum of its proper divisors (7375344360).

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

3121840920 is a wasteful number, since it uses less digits than its factorization.

3121840920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3121840920 is about 55873.4366224237. The cubic root of 3121840920 is about 1461.5160520209.

The spelling of 3121840920 in words is "three billion, one hundred twenty-one million, eight hundred forty thousand, nine hundred twenty".