3117340262400 has 1536 divisors, whose sum is σ = 12975099540480. Its totient is φ = 642860974080.

The previous prime is 3117340262389. The next prime is 3117340262467. The reversal of 3117340262400 is 42620437113.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11853004669 + ... + 11853004931.

It is an arithmetic number, because the mean of its divisors is an integer number (8447330430).

Almost surely, 2^{3117340262400} is an apocalyptic number.

3117340262400 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 3117340262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487549770240).

3117340262400 is an abundant number, since it is smaller than the sum of its proper divisors (9857759278080).

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

3117340262400 is a wasteful number, since it uses less digits than its factorization.

3117340262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 3117340262400 its reverse (42620437113), we get a palindrome (3159960699513).

The spelling of 3117340262400 in words is "three trillion, one hundred seventeen billion, three hundred forty million, two hundred sixty-two thousand, four hundred".