3117578240 has 384 divisors, whose sum is σ = 9359400960. Its totient is φ = 973209600.

The previous prime is 3117578237. The next prime is 3117578249. The reversal of 3117578240 is 428757113.

It is a junction number, because it is equal to n+sod(n) for n = 3117578194 and 3117578203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117578249) 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 31 ways as a sum of consecutive naturals, for example, 51107810 + ... + 51107870.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 2^3117578240 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 3117578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

3117578240 is an abundant number, since it is smaller than the sum of its proper divisors (6241822720).

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

3117578240 is a wasteful number, since it uses less digits than its factorization.

3117578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 3117578240 is about 55835.2777372872. The cubic root of 3117578240 is about 1460.8505458761.

The spelling of 3117578240 in words is "three billion, one hundred seventeen million, five hundred seventy-eight thousand, two hundred forty".