3117292640 has 192 divisors, whose sum is σ = 9288276480. Its totient is φ = 960368640.

The previous prime is 3117292571. The next prime is 3117292681. The reversal of 3117292640 is 462927113.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3117292640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095059 + ... + 1097901.

It is an arithmetic number, because the mean of its divisors is an integer number (48376440).

Almost surely, 2^3117292640 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 3117292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644138240).

3117292640 is an abundant number, since it is smaller than the sum of its proper divisors (6170983840).

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

3117292640 is a wasteful number, since it uses less digits than its factorization.

3117292640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3117292640 is about 55832.7201558369. The cubic root of 3117292640 is about 1460.8059352174.

The spelling of 3117292640 in words is "three billion, one hundred seventeen million, two hundred ninety-two thousand, six hundred forty".