3117007840 has 192 divisors, whose sum is σ = 8047226880. Its totient is φ = 1137438720.

The previous prime is 3117007811. The next prime is 3117007847. The reversal of 3117007840 is 487007113.

3117007840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3117007840⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117007847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10152967 + ... + 10153273.

It is an arithmetic number, because the mean of its divisors is an integer number (41912640).

Almost surely, 2^3117007840 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 3117007840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023613440).

3117007840 is an abundant number, since it is smaller than the sum of its proper divisors (4930219040).

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

3117007840 is a wasteful number, since it uses less digits than its factorization.

3117007840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 3117007840 is about 55830.1696218093. The cubic root of 3117007840 is about 1460.7614468051.

The spelling of 3117007840 in words is "three billion, one hundred seventeen million, seven thousand, eight hundred forty".