3117497760 has 192 divisors, whose sum is σ = 11750780160. Its totient is φ = 767370240.

The previous prime is 3117497753. The next prime is 3117497797. The reversal of 3117497760 is 677947113.

It is a happy number.

3117497760 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 28405 + ... + 83915.

It is an arithmetic number, because the mean of its divisors is an integer number (61201980).

Almost surely, 2^3117497760 is an apocalyptic number.

3117497760 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 3117497760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875390080).

3117497760 is an abundant number, since it is smaller than the sum of its proper divisors (8633282400).

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

3117497760 is a wasteful number, since it uses less digits than its factorization.

3117497760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55548 (or 55534 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 3117497760 is about 55834.5570413163. The cubic root of 3117497760 is about 1460.8379751931.

The spelling of 3117497760 in words is "three billion, one hundred seventeen million, four hundred ninety-seven thousand, seven hundred sixty".