3121345080 has 576 divisors, whose sum is σ = 12697776000. Its totient is φ = 661022208.

The previous prime is 3121345069. The next prime is 3121345127. The reversal of 3121345080 is 805431213.

It is a happy number.

3121345080 is a `hidden beast` number, since 3 + 121 + 34 + 508 + 0 = 666.

3121345080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22455651 + ... + 22455789.

It is an arithmetic number, because the mean of its divisors is an integer number (22044750).

Almost surely, 2^3121345080 is an apocalyptic number.

3121345080 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 3121345080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348888000).

3121345080 is an abundant number, since it is smaller than the sum of its proper divisors (9576430920).

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

3121345080 is a wasteful number, since it uses less digits than its factorization.

3121345080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3121345080 is about 55868.9992750899. Note that the first 3 decimals coincide. The cubic root of 3121345080 is about 1461.4386707035.

Adding to 3121345080 its reverse (805431213), we get a palindrome (3926776293).

The spelling of 3121345080 in words is "three billion, one hundred twenty-one million, three hundred forty-five thousand, eighty".