3121412840 has 256 divisors, whose sum is σ = 9291179520. Its totient is φ = 915701760.

The previous prime is 3121412839. The next prime is 3121412863. The reversal of 3121412840 is 482141213.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4516895 + ... + 4517585.

It is an arithmetic number, because the mean of its divisors is an integer number (36293670).

Almost surely, 2^3121412840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121412840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645589760).

3121412840 is an abundant number, since it is smaller than the sum of its proper divisors (6169766680).

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

3121412840 is a wasteful number, since it uses less digits than its factorization.

3121412840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 3121412840 is about 55869.6056903931. The cubic root of 3121412840 is about 1461.4492458845.

The spelling of 3121412840 in words is "three billion, one hundred twenty-one million, four hundred twelve thousand, eight hundred forty".