3117312000 has 768 divisors, whose sum is σ = 12878611200. Its totient is φ = 737280000.

The previous prime is 3117311983. The next prime is 3117312019. The reversal of 3117312000 is 2137113.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 76031980 + ... + 76032020.

It is an arithmetic number, because the mean of its divisors is an integer number (16769025).

Almost surely, 2^3117312000 is an apocalyptic number.

3117312000 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 3117312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439305600).

3117312000 is an abundant number, since it is smaller than the sum of its proper divisors (9761299200).

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

3117312000 is a wasteful number, since it uses less digits than its factorization.

3117312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 3117312000 is about 55832.8935306061. The cubic root of 3117312000 is about 1460.8089593313.

Adding to 3117312000 its reverse (2137113), we get a palindrome (3119449113).

The spelling of 3117312000 in words is "three billion, one hundred seventeen million, three hundred twelve thousand".