3121330320 has 120 divisors (see below), whose sum is σ = 10844004600. Its totient is φ = 803647488.

The previous prime is 3121330259. The next prime is 3121330327. The reversal of 3121330320 is 230331213.

3121330320 is a `hidden beast` number, since 3 + 12 + 1 + 330 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53056656 + 3068273664 = 7284^2 + 55392^2 .

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 = 3121330293 and 3121330302.

It is not an unprimeable number, because it can be changed into a prime (3121330327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53865 + ... + 95624.

It is an arithmetic number, because the mean of its divisors is an integer number (90366705).

Almost surely, 2^3121330320 is an apocalyptic number.

3121330320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121330320 is an abundant number, since it is smaller than the sum of its proper divisors (7722674280).

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

3121330320 is a wasteful number, since it uses less digits than its factorization.

3121330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149537 (or 149528 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3121330320 is about 55868.8671802105. The cubic root of 3121330320 is about 1461.4363671166.

Adding to 3121330320 its reverse (230331213), we get a palindrome (3351661533).

The spelling of 3121330320 in words is "three billion, one hundred twenty-one million, three hundred thirty thousand, three hundred twenty".